The angle between two vectors u and v is given by;

`costheta = (u.v)/(|u||v|)`

u.v represent the vector dot product and |u| and |v| represents the magnitude of vectors.

We know that in unit vectors;

`ixxi = jxxj = 1 and ixxj = jxxi = 0`

`u =...

## Unlock

This Answer NowStart your **48-hour free trial** to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Already a member? Log in here.

The angle between two vectors u and v is given by;

`costheta = (u.v)/(|u||v|)`

u.v represent the vector dot product and |u| and |v| represents the magnitude of vectors.

We know that in unit vectors;

`ixxi = jxxj = 1 and ixxj = jxxi = 0`

`u = -6i-3j`

`v = -8i+4j`

`u.v = (-6)xx(-8)+(-3)xx4 = 36`

`|u| = sqrt((-6)^2+(-3)^2) = sqrt(45)`

`|v| = sqrt((-8)^2+4^2) = sqrt80`

The angle between vectors is given by;

`costheta = 36/((sqrt45)(sqrt80))`

`theta = cos^(-1)(36/sqrt(3600))`

`theta = 53.13 deg`

**So the angle between two vectors is 53.13 deg**

**Further Reading**