Question

Find two unit vectors orthogonal to both (8, 5, 1) and (−1, 1, 0).

Answer 1

Have you been introduced to the Cross Product?

Answer 2

and normalizing vectors?

Answer 3

if (8,5,1) and (-1,1,0) are the vectors under question, all you have to do is take their vector product (cross product) then normalize that vector by dividing by the value of its magnitude.

Answer 4

the second vector that will be perpendicular to those 2 will be a unit vector in the opposite direction of the first one you will calculate