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MHT CET20244 May 2024Evening ShiftMathematicsVector AlgebraActual

If a , b , c are non-coplanar vectors and p = b c [ a b c ] , q = c a [ a b c ] , r = a b [ a b c ] , then 2 a p + b q + c r =

Options

  1. A0
  2. B3
  3. C4
  4. D1

Correct answer

C. 4

Step-by-step solution

aligned & 2 a p = 2( ~b c ) a [ a ~b c ] = 2[ ~b c a ] [ a ~b c ] =2 . & b q = ( c a ) b [ a ~b c ] = [ c a ~b ] [ a ~b c ] =1 & c r = ( a b ) c [ a ~b c ] = [ a ~b c ] [ a ~b c ] =1 & 2 a p + b q + c r =2+1+1=4 aligned

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