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The points P, Q and R have co-ordinates (2,2,1), (4, 1, 2) and (5,-1,4) respectively. (i) Show that PQ=2i-j+k. (ii) Show that PR =
The points P, Q and R have co-ordinates (2,2,1), (4, 1, 2) and (5,-1,4) respectively. (i) Show that PQ=2i-j+k. (ii) Show that PR = 31-3j+3k. (iii) Calculate the vector product PQ x PR. (iv) Calculate the scalar product PQ. PR. (v) Use your answer to (iv) to calculate the angle between the vectors PQ and PR. giving your answer to the nearest degree.
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Step: 1
i To find the vector PQ we subtract the coordinates of point P from point Q Vector PQ Q P 42i 12j 21...
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Step: 2
Step: 3
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Complete Pure Mathematics 1 For Cambridge International AS & A Level
Authors: Jean Linsky, Brian Western, James Nicholson
2nd Edition
978-0198427438, 0198427433
