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

1 Answer
Narad T.
Oct 21, 2016

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〉

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