For any two distinct points P and Q in R", the midpoint of PQ is the point M in R" such that or in vector notation OM = OP + 1/4 PQ m = where v is the vector associated with the arrow PQ. P M Let X be the point on PQ that it is four times as far from P as it is from Q. P 4-parts 1-part (a) (2 marks) For what value of k is the following a correct expression of the vector , the vector associated with the arrow OX? x= p+kv (b) (8 marks) Prove that your point is correct by showing that d(x, p) = 4d(x, q)