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KVPY2011MathematicsVector Algebra

Let a , b , c be three vectors in the xyz space such that a b = b c = c a 0 If A, B, C are points with position vectors a , b , c respectively, then the number of possible positions of the centroid of triangle A B C is -

Options

  1. A1
  2. B2
  3. C3
  4. D6

Correct answer

A. 1

Step-by-step solution

array lr a b + c b =0 & similarly b + c = ₂ a a + c = ₁ b & b + a = ₃ c array

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