imo class 12 vector algebra

If θ is the angle between any two vectors a and b, then |a.b| = |a × b| when θ is equal to:

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If θ is the angle between any two vectors a and b, then |a.b| = |a × b| when θ is equal to:

  • A. 0
  • B. π/4
  • C. π/2
  • D. π

Answer: B) π/4

Explanation: |a||b||cosθ| = |a||b||sinθ|. This implies |tanθ| = 1. The angle in the first quadrant is π/4 (45°).

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