Answer:
The projection of u onto v is <-30/29, 75/29>
Explanation:
Given the vectors components:
u = <5, 5> and v = <-2, 5>
The projection of u onto v is calculated as follows:
[tex]\begin{gathered} \frac{\vec{u\cdot\vec{v}}}{\parallel\vec{v}\parallel^2}\vec{v} \\ \\ =\frac{5(-2)+5(5)}{(-2)^2+5^2}<-2,5> \\ \\ =\frac{15}{29}<-2,5> \\ \\ =<-\frac{30}{29},\frac{75}{29}> \end{gathered}[/tex]
