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MHT CET2010MathematicsVector Algebra

If a , b , c are three non coplanar vectors and p , q , r are defined by the relations p = b c [ a b c ] , q = c a [ a b c ] and r = b a [ a b c ] then a p + b q + c r is equal to

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

B. 1

Step-by-step solution

a p + b q + c r aligned &= a b c [ a b c ] + b c a [ a b c ] + c b a [ a b c ] =& 1+1-1=1 aligned

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