Question

1. Find a unit vector which is perpendicular to both of the vectors m=[4, 2, -3] and n=[2, -3, 1]

Answer 1

A vector perpendicular to both m and n is the cross product. After that, you only need to normalize it to make a unit vector.
Post if you need more help.

Answer 2

| i j k |
| 4 2 -3 |
| 2 -3 1 |
= [-7,-10,-16]/9√5

like this? please check if it's correct, thanks MathMate

Answer 3

Correct!

Answer 4

thank you !