9709 P12 - Jun 2016 - Q3
2186
Relative to an origin O, the position vectors of points A and B are given by \(\overrightarrow{OA} = 2\mathbf{i} - 5\mathbf{j} - 2\mathbf{k}\) and \(\overrightarrow{OB} = 4\mathbf{i} - 4\mathbf{j} + 2\mathbf{k}\).
The point C is such that \(\overrightarrow{AB} = \overrightarrow{BC}\). Find the unit vector in the direction of \(\overrightarrow{OC}\).
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