Question: solve A4. Four points A, B, C and D are given by their coordinates (1, 5, -2), (0, 3, 4), (2, 1, 7) and (4,

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A4. Four points A, B, C and D are given by their coordinates (1, 5, -2), (0, 3, 4), (2, 1, 7) and (4, 5, 8), respectively. (i) Write down the vector equation of the straight line passing through the points A and B. Find the coordinates of the point Q which is two thirds on the way from A to B. (ii) Is the line passing through the points C and D parallel to the line passing through the points A and B? Explain why or why not. [5 marks]

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