Past Papers’ Solutions  Cambridge International Examinations (CIE)  AS & A level  Mathematics 9709  Pure Mathematics 1 (P19709/01)  Year 2016  MayJun  (P19709/12)  Q#3
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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