Precalculus, Chapter 6, 6.4, Section 6.4, Problem 60

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 = 4* 1+ 2* (-2)
u*v = 4 - 4
u*v = 0
proj_v (u) = (0/(|v|^2))*v => proj_v (u) = 0*v => proj_v (u) = 0*<1,-2>
proj_v (u) = <0*1,0*(-2)> => proj_v (u) = <0,0>
Hence, evaluating the projection of vector u onto vector v yields proj_v (u) = <0,0>.