Question

Find the projection of u = <9, -2> onto v = <-3, 2>.

Answer 1

find the unit vector of v,
and take the dot product wid u

Answer 2

projection of u onto v :

\[\dfrac{\langle 9, -2 \rangle \bullet \langle -3,2 \rangle}{3^2 + 2^2} \langle -3, ~2 \rangle \]

Answer 3

thank you

Answer 4

simplifying above gives u :


\[\dfrac{-31}{13} \langle -3, ~2 \rangle\]