Question

How do you find the unit vector in the direction of PQ p = (7,-4) q = (-3,2)?

Answer 1

The unit vector is `〈10/sqrt136,-6/sqrt136〉`

Explanation:

`vec(PQ)=〈7--3,-4-2〉=〈10,-6〉`

Magnitude of the vector `vec(PQ)`

is `∣vec(PQ)∣=sqrt(10^2+(-6)^2)=sqrt136`

To find the unit vector, we divide the vector by its magnitude

`hat(PQ)=(〈10,-6〉 )/ sqrt136=〈10/sqrt136,-6/sqrt136〉`