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Class 12 Three Dimensional Geometry · Short Answer2 Marksangles_between_lines

Class 12 Maths · Three Dimensional Geometry · Short Answer #74

Find the acute angle between directions (3,2,6),(1,2,2).

✅ Step-by-Step Solution

Final Answer: cos⁻¹(19/21).
  1. Use cos θ=|d·e|/(|d||e|).
  2. The dot product is 19 and the norms are 7 and 3.
  3. θ=cos⁻¹(19/21).

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Use cos θ=|d·e|/(|d||e|).
  • [1 mark] The dot product is 19 and the norms are 7 and 3.
  • [0.5 marks] θ=cos⁻¹(19/21).

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