Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2016 | May-Jun | (P1-9709/12) | Q#3

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Question

Relative to an origin , the position vectors of points A and B are given by

and

The point C is such that . Find the unit vector in the direction of .

Solution

A unit vector in the direction of  is;

Therefore for the given case;

Therefore, we need to find .

We are given that;

A vector in the direction of  is;

We are given that;

Therefore;

Hence, unit vector in the direction of (or parallel to) ;

 

 

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