Question

What is the unit vector in the direction of (-3,5,4)?

Answer 1

Divide the given vector by the magnitude of the vector

Explanation:

Let the vector `bar A = (-3,5,4)`

The magnitude, `|barA|`, is:

`|bar A| = sqrt(-3^2 + 5^2 + 4^2)`

`|bar A| = sqrt(50)`

The unit vector, `hat A`, is:

`hat A = {(-3,5,4)}/sqrt(50)`