Given that and u||v, v is not parallel with w and z= −3u state (with reasons) whether the following vectors are linearly dependent with u.(adsbygoogle = window.adsbygoogle || []).push({});

a) -2v -> LD since u is parallel with v, u must be also parallel with 2v

b) 3w -> LI since u is parallel with v and v isn't parallel with w, w is also not parallel with u

c) 4z -> LD since u is parallel with v and v is parallel with z (z is just a scalar mutliple of u anyways), z must be parallel with u

d) 3v + 4z -> LD since v and z are parallel with each other and both are parallel with u, any combination of v and z is parallel with u

can someone check these for me? the coefficients infront of the vectors have no real siginificance right?, there just scalar multiples? if they do, then i screwed up big time.

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# Homework Help: Linear dependence/independence

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