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In the figure OPQ is a triangle in which OS = `1/3`OP and OR = `1/3OQ.` T is a point on QS such that QT = `3/4`QS.
a) Given that OP = p and OQ = q, express the following vectors in terms of p and q:
i. SR
ii. QS
iii. PT
iv. TR
b) Hence or otherwise show that the points P, T, and R are collinear.