Determine whether u and v are parallel,orthogonal,or neither. u = $( 7,0,2 )$ ,v = $( - 8,0,1 )$
A)parallel
B)neither
C)orthogonal

Question

Determine whether u and v are parallel,orthogonal,or neither. u = $( 7,0,2 )$ ,v =  $( - 8,0,1 )$
A)parallel
B)neither
C)orthogonal

Quizplus · Accepted Answer

Two vectors are parallel if one is a scalar multiple of the other, and orthogonal if their dot product is zero. The dot product of u and v is $7(-8) + 0(0) + 2(1) = -56 + 2 = -54$, which is not zero, so they are not orthogonal. Since the ratios of their corresponding components are not the same (for instance, $7/-8$ is not equal to $2/1$), they are not scalar multiples of each other, and thus not parallel. Therefore, they are neither parallel nor orthogonal.

Determine Whether U and V Are Parallel,orthogonal,or Neither (7,0,2)( 7,0,2 )(7,0,2)

Determine Whether U and V Are Parallel,orthogonal,or Neither $( 7,0,2 )$