Question

Determine a unit vector that is orthogonal to both u=[3,-4, 1] and v=[2,3,-4].

Answer 1

do cross product (perpendicular to both)
i j k
3 -4 1
2 3 -4

(16-3)i + (2+12)j + (9+8)k

13 i + 14 j + 17 k
divide every coefficient by
sqrt (169 + 196 + 289)
to make it a unit vector