Determine whether u and v are parallel,orthogonal,or neither. u = $( - 6 , - 6,5 )$ ,v = $( 8,0,9 )$
A)parallel
B)orthogonal
C)neither

Question

Determine whether u and v are parallel,orthogonal,or neither. u = $( - 6 , - 6,5 )$ ,v =  $( 8,0,9 )$
A)parallel
B)orthogonal
C)neither

Quizplus · Accepted Answer

Two vectors are parallel if they are scalar multiples of each other, and orthogonal if their dot product is zero. The dot product of u and v is $(-6*8) + (-6*0) + (5*9) = -48 + 0 + 45 = -3$, which is neither zero (not orthogonal) nor does one vector appear to be a scalar multiple of the other (not parallel), so the vectors are neither parallel nor orthogonal.

Determine Whether U and V Are Parallel,orthogonal,or Neither (−6,−6,5)( - 6 , - 6,5 )(−6,−6,5)

Determine Whether U and V Are Parallel,orthogonal,or Neither $( - 6 , - 6,5 )$