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JEE Main2006MathematicsVector AlgebraActual

The values of a , for which the points A, B, C with position vectors 2 i - j + k , i -3 j -5 k and a i -3 j + k respectively are the vertices of a right-angled triangle with C= 2 are

Options

  1. A2 and 1
  2. B−2 and −1
  3. C−2 and 1
  4. D2 and −1

Correct answer

A. 2 and 1

Step-by-step solution

B A = i -2 j +6 k C A =(2-a) i +2 j C B =(1-a) i -6 k C A C B =0 (2-a)(1-a)=0 a=2,1

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