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AP EAMCET202421 May 2024Evening ShiftMathematicsThree Dimensional GeometryActual

Angle between the planes r (2 i +4 j -3 k )=5 and r (5 i +3 j +4 k )=7 is

Options

  1. A⁻¹ ( 12 13 )
  2. B⁻¹ ( 6 2 13 )
  3. C⁻¹ ( 3 2 13 )
  4. D⁻¹ ( 6 13 )

Correct answer

B. ⁻¹ ( 6 2 13 )

Step-by-step solution

aligned & r (12 i +4 j -3 k )=5 and r (5 i +3 j +4 k )=7 & n₁=12 i +4 j -3 k and n₂=5 i +3 j +4 k & = | n₁ n₂ |n₁ | |n₂ | |= | 60+12-12 13 5 2 |= 6 2 13 & = ⁻¹ 6 2 13 aligned

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