Hi can you answer these questions

Question 4: The points P, Q. R and S, joined by the vectors i, v,w and #, are the vertices of a quadrilateral in R3. Use the following steps to prove that the line segments joining the midpoints of the sides of the quadrilateral form a parallelogram. =\\ &Y G (a) (2 points) Use vector addition to show that @ + = + &. (If you use triangle/parallelogram law, clearly mention which triangle or parallelogram you are using.) (b) (1.5 points) Let 1 be the vector that joins the midpoints of PQ and QR. Show that m = i s () (1.5 points) Let 7 be the vector that joins the midpoints of PS and SR. Show that 7 = _; = (d) (2 points) Combine parts (a), (b) and () to conclude that i = 7. (e) (3 points) Explain why part (d) implies the desired conclusion