In this problem we find the projection of the vector = (3,1,1) {v= <3,1,1> } onto the vector w=(2,1,-2) (w= <2,1,-2> } (or more

In this problem we find the projection of the vector = (3,1,1) {v= } onto the vector w=(2,1,-2) (w= } (or more precisely onto the line generated by the direction of this vector.) a) Find the unit vector u_w representing this direction (i.e., give the unit vector in the direction of w). b) Find the component of v in the direction, comp W (comp_w (v) } which means the same as the length of the vector projection. To do this all we need to do is take the dot product of v with the unit vector u_w from part a). (v.u_w)