Question

How do you find the unit vector having the same direction as vector `v = –12j`?

Answer 1

`hat(v) = -vec(j)`

Explanation:

`hat(v) = (vec(v))/(|vec(v)|)`

`|vec(v)| = sqrt((-12)^2) = 12` (this is the norm or length of the vector so we take the positive root.

`hat(v) = (-12vec(j))/12 = -vec(j)`