# OCME ยท Knowledge & practice explorer 302 MKO / 1,441 families / 360 batches / 36,000 questions. 36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training. 200 results; page 2/8. ## Question 11226: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0051`; number: 11226 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0051/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0051.json) ## Question 11227: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0052`; number: 11227 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0052/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0052.json) ## Question 11228: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0053`; number: 11228 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0053/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0053.json) ## Question 11229: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0054`; number: 11229 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0054/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0054.json) ## Question 11230: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0055`; number: 11230 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0055/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0055.json) ## Question 11231: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0056`; number: 11231 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0056/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0056.json) ## Question 11232: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0057`; number: 11232 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0057/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0057.json) ## Question 11233: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0058`; number: 11233 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0058/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0058.json) ## Question 11234: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0059`; number: 11234 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0059/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0059.json) ## Question 11235: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0060`; number: 11235 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0060/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0060.json) ## Question 11236: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0061`; number: 11236 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0061/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0061.json) ## Question 11237: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0062`; number: 11237 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0062/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0062.json) ## Question 11238: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0063`; number: 11238 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0063/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0063.json) ## Question 11239: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0064`; number: 11239 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0064/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0064.json) ## Question 11240: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0065`; number: 11240 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0065/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0065.json) ## Question 11241: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0066`; number: 11241 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0066/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0066.json) ## Question 11242: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0067`; number: 11242 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0067/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0067.json) ## Question 11243: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0068`; number: 11243 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0068/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0068.json) ## Question 11244: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0069`; number: 11244 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0069/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0069.json) ## Question 11245: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0070`; number: 11245 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0070/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0070.json) ## Question 11246: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0071`; number: 11246 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0071/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0071.json) ## Question 11247: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0072`; number: 11247 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0072/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0072.json) ## Question 11248: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0073`; number: 11248 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0073/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0073.json) ## Question 11249: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0074`; number: 11249 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0074/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0074.json) ## Question 11250: Unique Coordinates Only after Qualifying an Ordered Plane Basis - ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0075`; number: 11250 - Processing: second_context_reviewed - MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/) - Family: [qf-mod24-linbasis-coordinate-witness](/en/explore/?family=qf-mod24-linbasis-coordinate-witness) - Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations) - [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0075/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0075.json) [Next](/en/explore/index.md?mko=mko-linear-independence-basis&page=3)