Question

Let u = <-6, 1>, v = <-5, 2>. Find -4u + 2v.

A) <34, -8>
B) <14, 0>
C) <14, 3>
D) <44, -12>

Answer 1

u = <-6,1>
-4u = -4*<-6,1>
-4u = <-4*(-6),-4*1>
-4u = <24,-4>
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v = <-5,2>
2v = 2*<-5,2>
2v = <2*(-5),2*2>
2v = <-10,4>
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-4u + 2v = <24,-4> + <-10,4>
-4u + 2v = <24+(-10),-4+4>
-4u + 2v = <24-10,-4+4>
-4u + 2v = <14,0>
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Answer: B) <14,0>