Determine, for vectors u = i + 2j − k, v = −i + j + k, w = i + k (a) a unit vector in the direction u + 2v − 3w

asked Jan 4, 2019 104k views

4 votes

by Habsq

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3 votes

u=i+2j-k
v=-i+j+k
w=i+k
thus:
u+2v-3w
i+2j-k+2(-i+j+k)-3(i+k)
=i+2j-k-2i+2j+2k-3i-3k
=i-2i-3i+2j+2j-k+2k-3k
=-4i+4j-2k

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