- #1

Destroxia

- 204

- 7

## Homework Statement

Find two unit vectors in 2-space that make an angle of 45(deg) with 7i + 6j.

## Homework Equations

Unit Vector = u = (1/||v||)*v

Dot Product = u . v = ||u|| ||v|| cos(theta)

## The Attempt at a Solution

I've been thinking about a way to do this. I originally thought that unit vectors could only be in the direction of the vector specified, because direction was the only thing that mattered.

I was thinking, if I found the unit vector of 7i + 6j, and then I multiplied that by cos(45), and sin(45), it would give me two solutions of unit vectors 45 degrees from the direction of 7i + 6j.

I'm not sure if this thinking is correct.