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Class 12 Three Dimensional Geometry · Conceptual Answer1 Marksorthogonal_directions

Class 12 Maths · Three Dimensional Geometry · Conceptual Answer #67

Find k so that directions (−3,2k,2) and (3k,1,−5) are orthogonal.

✅ Step-by-Step Solution

Final Answer: k=−10/7.
  1. Their dot product is −9k+2k−10=−7k−10; set it to zero.
  2. k=−10/7.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Their dot product is −9k+2k−10=−7k−10; set it to zero.
  • [0.5 marks] k=−10/7.

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