Precalculus, Chapter 6, 6.4, Section 6.4, Problem 62

You need to evaluate the projection of vector u onto vector v using the formula, such that:
proj_v (u) = ((u*v)/(|v|^2))*v
You need to evaluate the product of vectors u = u_x*i + u_y*j and v = v_x*i + v_y*j , such that:
u*v = u_x* v_x + u_y* v_y
u*v = (-3)*(-4)+ (-2)* (-1)
u*v = 12+2
u*v = 14
You need to evaluate the magnitude of the vector v, such that:
|v| = sqrt((-4)^2+(-1)^2) => |v|^2 = 17
proj_v (u) = (14/17)*v => proj_v (u) = (14/17)*<-4,-1>
proj_v (u) = <-56/17,-14/17>
Hence, evaluating the projection of vector u onto vector v yields proj_v (u) = <-56/17,-14/17> .