Question

Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not unique. Enter your answer as a comma-separated list of vectors.) u=⟨4,−2,5⟩

Answer 1

Answer: find below

Explanation:

Let v and w be two vectors orthogonal to u. We can find them as follows:

V = u * x

= (4,-2,5) * (1,0,0)

= (0,5,0)

W = u * x

= (4,-2,5) * (0,5,0)

= (-25,0,20)