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Class 12

Lines in Space and the Angle Between Them — Quiz

Five questions on direction cosines, equations of lines and the angle between lines. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. The direction cosines of a line with direction ratios 2,−6,32, -6, 3 are
  2. The direction ratios of the line through (1,2,3)(1, 2, 3) and (4,6,3)(4, 6, 3) are
  3. The Cartesian equation of the line through (2,−1,4)(2, -1, 4) parallel to 3i^+2j^−k^3\hat i + 2\hat j - \hat k is
  4. Find the angle between two lines with direction ratios 1,1,01, 1, 0 and 1,0,11, 0, 1.
  5. For what kk are lines with direction ratios 2,k,12, k, 1 and 1,2,−41, 2, -4 perpendicular?
Unanswered questions are marked wrong.

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