How do you find a) u+v, b) u-v, c) 2u-3v given #u=-2i+j, v=-i+2j#?

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Answer 1 · 2017-09-19T09:41:14

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This is the sum or difference of #2# vectors and multiplication by a scalar

#vecu=-2hati+hatj#

#vecv=-hati+2hatj#

Therefore,

#vecu + vecv =(-2hati+hatj)+(-hati+2hatj)=-3hati+3hatj#

#vecu - vecv =(-2hati+hatj)-(-hati+2hatj)=-hati-hatj#

#2vecu - 3vecv =2(-2hati+hatj)-3(-hati+2hatj)= -hati-4hatj#