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Can you please help me solve this Question 4: The points P,Q. R and S, joined by the vectors i, v, and &, are the

Can you please help me solve this

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Question 4: The points P,Q. R and S, joined by the vectors i, v, and &, are the vertices of a quadrilateral in R*. Use the following steps to prove that the line segments joining the midpoints of the sides of the quadrilateral form a parallelogram. & =N e (a) (2 points) Use vector addition to show that @ + = o + 2. (If you use triangle/parallelogram law, clearly mention which triangle or parallelogram you are using.) (b) (1.5 points) Let 7t be the vector that joins the midpoints of PQ and QR. Show that m = s U. () (1.5 points) Let 7 be the vector that joins the midpoints of PS and SR. Show that 71 = = ; * (d) (2 points) Combine parts (a), (b) and (c) to conclude that m = 7. (e) (3 points) Explain why part (d) implies the desired conclusion

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