Question

Find the unit vector in the direction of (6, 7).

Write your answer in component form.
Do not approximate any numbers in your answer.

Answer 1

<(6/√85),(7/√85>

Explanation:

Let vector o = 6i + 7j,

The magnitude, | o | = √(6²+7²) = √85

Unit vector, ô = (6i + 7j)/√85

= (6/√85)i + (7/√85)j

In component form, ô = <(6/√85),(7/√85>