Let p1, p2 and p3 be the vectors that are the projections of w on the lines e1 = {y = x, z = 0}, e2 = {y = z, x = 0} and e3 = {z = x, y =0}.

Question

every one.The exercise also gives points A=(1,3,4) and B=(1,4,3) with a vector w=AB. I found the w=(1-1,4-3,3-4)=(0,1,-1) and made a graph with the lines and w.

After it asks me to find the projection vector matrices of P1,P2 and P3 but i guess thats easy after finding the vectors.

Thanks a lot.