How do you find the component form of #v=u+2w# given #u=2i-j, w=i+2j#?

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Answer 1 · 2017-10-27T15:36:05

#v = color(blue)(4i+3j)#

If #v=u+2i-j# and #w=i+2j#

You just substitute these into #u + 2w#

#v = 2i-j + 2(i +2j)= 2i -j+2i+4j#

Collect like terms:

#v = 2i -j+2i+4j= 4i+3j#

So:

#v = color(blue)(4i+3j)#