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AP EAMCET2012MathematicsVector Algebra

Let a , b and c be three non-coplanar vectors and let p , q and r be the vectors defined by p = b c [ a b c ] , q = c a [ a b c ] , r = a b [ a b c ] . Then, ( a + b ) p +( b + c ) q +( c + a ) r is equal to

Options

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

Correct answer

D. 3

Step-by-step solution

aligned & =1+0=1 & Similarly, ( b + c ) q =1 & and ( c + a ) r =1 & aligned gathered ( a + b ) p +( b + c ) q +( c + a ) r =1+1+1=3 gathered

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