Relative to an origin O, the position vectors of the points A and B are 2i

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Relative to an origin O, the position vectors of the points A and B are 2i – 3j and 11i + 42j respectively.

a. Write down an expression AB(vectors).

The point C lies on Ab such that AC(vectors) = 1/3 AB(vectors).

b. Find the length of OC(vectors).

The point D lies on OA(vectors) such that DC(vectors) is parallel to OB(vectors).

c. Find the position vector of D.

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