`bbw = 4bbj` Find a unit vector in the direction of the given vector. Verify that the result has a magnitude of 1.

Hence, you need to find the unit vector having the same direction as the vector `w = 4j => w = <0,4>` , hence, you need to use the formula, such that:

`u = w/|w|`

You need to evaluate the magnitude |w|, such that:

`|w| = sqrt(a^2+b^2)`

`|w| = sqrt(0^2 + 4^2) => |w| = sqrt(0+16) => |w| = sqrt16 => |w| = 4`

`u = ( <0,4>)/4=> u = <0/4, 4/4>`

`u = <0,1>`

You need to check that the magnitude of the unit vector is 1, such that:

`|u| = sqrt(0^2 + 1^2)`

`|u| = sqrt (1)`

`|u| = 1`

Hence, evaluating the unit vector yields` u = <0,1>.`