# Concept derivation guides

299 concept teaching guides, separate from the 36,000 individual question derivations.

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Concept guide



## [Universal closure of a line through zero](/en/derivations/derivation-mko-vector-subspace-01/?from=%2Fen%2Fderivations%2F%3Fq%3Dmko-vector-subspace)

U={(x,2x):x in R} is a subspace of R2, whereas U+(0,1) is not.

Real vector subspace

derivation-mko-vector-subspace-01





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