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AP EAMCET201920 Apr 2019Evening ShiftMathematicsThree Dimensional GeometryActual

If A, B, C and D are points whose position vectors are i + j + k , 4 i - j +2 k , 5 i + j , 7 i +2 j +3 k respectively, then the projection of A B on C D is

Options

  1. A4 3
  2. B2 7
  3. C3 4
  4. D7 2

Correct answer

D. 7 2

Step-by-step solution

Given, position vectors of points A, B, C and D are i + j + k , 4 i - j +2 k , 5 i + j and 7 i +2 j +3 k . So, A B =3 i -2 j + k and C D =2 i + j +3 k Projection of A B on C D is = | A B C D | | C D | = |6-2+3| 4+1+9 = 7 14 = 7 2 Hence, option (d) is correct.

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