Determine whether u and v are orthogonal, parallel, or neither.

Question

u = -25/12i + 5j

v = -3i - 5/4j

A. Orthogonal

B. Parallel

C. Neither

Answer 1

If the vectors are orthogonal, their dot product would be zero.

Let's check if u.v is 0:

u *v = <-25/12, 5>*<-3,-5/4>

= -25/12*-3 + 5 *-5/4

= 75/12 - 25/4

= 25/4 - 25/4 = 0

Since the dot product is 0, the two vectors are orthogonal.

They are not parallel, since they are not linear multiples of one another.