Question
7
(1 point) Suppose i = (-3,-2) and v = (13,0) are two vectors that form the sides of a parallelogram. Then the lengths of the
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Answer #1

Solution :-  if u and v are two vectors such that they form the side of a parallelogram the,

u+v and u-v form the diagonal of a parallelogram.

we have given u = <-3,-2> and v = <13, 0 >

Hence, D1 = u+v = < -3,-2 >+< 13, 0 >

D1 = u+v = <-10 , -2 >

and length is = sqrt{ 100+4} = 2 sqrt(26)

Also D2 = u-v = <-16 ,-2>

so length is = sqrt{ 256+4 } = sqrt(260) =2 sqrt(65)

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