OABCDEFG is a cube with side 2 units, as shown in the diagram. \( B \) has coordinates \( (2,2,0) \). \( \mathrm{P} \) is the centre of face OCGD and Q is the centre of face \( \mathrm{CBFG} \). (a) Write down the coordinates of G. 1 (b) Find \( \boldsymbol{p} \) and \( \boldsymbol{q} \), the position vectors of points \( \mathrm{P} \) and \( \mathrm{Q} \). 2 (c) Find the size of angle POQ. 5
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The coordinates of point B are (2,2,0), and we need to find the coordinates of G, the position vectors of points P and Q, and finally, the size of angle POQ. Show more…
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