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BITSAT2024MathematicsThree Dimensional GeometryActual

The magnitude of projection of line joining (3,4 , 5) and (4,6,3) on the line joining (-1,2,4) and (1,0,5) is

Options

  1. A4 3
  2. B2 3
  3. C8 3
  4. D1 3

Correct answer

A. 4 3

Step-by-step solution

We know that, projection of a on b is given by projection, | a | = ( a b ) | b | Let line joining points (3,4,5) and (4,6,3) is L₁ and line joining points (-1,2,4) and (1,0,5) is L₂ aligned & L₁= i +2 j -2 k & L₂=2 i -2 j + k aligned Projection of L₁ and L₂= L₁ L₂ |L₂ | = 2-4-2 4+4+1 = -4 3 Magnitude = 4 3

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