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9709 P31 - Nov 2017 - Q10 - 6 marks
2146

The equations of two lines l and m are r = 3ij − 2k + λ(−i + j + 4k) and r = 4i + 4j − 3k + μ(2i + j − 2k) respectively.

  1. Show that the lines do not intersect.
  2. Calculate the acute angle between the directions of the lines.
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