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determine whether the given vectors are orthogonal parallel or neither. (a) u=<-9,9,3>, v=<12,-12,-4>

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1 vote

Answer:

parallel

Explanation:

u = <-9,9,3>

v = <12,-12,-4>

test if the given vectors are orthogonal ( dot product = 0 )

we have to find the dot product of the vectors to determine is it will be = 0

u*v = (-9)*(12) + (9)*(-12) + (3)*(-4) = -108 -108 -12= -228 ≠ 0

hence the given vectors is not orthogonal

next check if the vectors are linearly dependent

(-9/12 ) = - 3/4

(9/-12) = - 3/4

( 3/-4 ) = - 3/4

since they are linearly dependent then they are parallel

User Niall Oswald
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