imo class 12 three dimensional geometry

The direction cosines of a line are proportional to 2, 3, 6. The direction cosine along z-axis is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The direction cosines of a line are proportional to 2, 3, 6. The direction cosine along z-axis is:

  • A. 6/7
  • B. 3/7
  • C. 2/7
  • D. √6/7

Answer: A) 6/7

Explanation: Magnitude = √(2²+3²+6²)=7. Hence direction cosines are 2/7, 3/7, 6/7. So z-direction cosine is 6/7.

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