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MHT CET202123 Sep 2021Morning ShiftMathematicsThree Dimensional GeometryActual

If A =(-2,2,3), B =(3,2,2), C =(4,-3,5) and D =(7,-5,-1) Then the projection of AB on CD is

Options

  1. A4
  2. B3
  3. C12 7
  4. DNone of these

Correct answer

B. 3

Step-by-step solution

aligned & A =(-2,2,3) ; B =(3,2,2) ; C =(4,-3,5) and D =(7,-5,-1) & AB =5 i - k and CD =3 i -2 j -6 k & Projection of AB on CD & = AB CD | CD | = (5 i - k ) (3 i -2 j -6 k ) (3)^2+(-2)^2+(-6)^2 = 15+6 7 =3 aligned

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