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MHT CET202416 May 2024Morning ShiftMathematicsVector AlgebraActual

If a , b and c are unit coplanar vectors, then the scalar triple product [ array lll 2 a - b & 2 b - c & 2 c - a array ] has the value

Options

  1. A0
  2. B- 3
  3. C1
  4. D3

Correct answer

A. 0

Step-by-step solution

a , b , c are coplanar vectors. [ array lll a & ~b & c array ]=0 Let =2 a - b , =2 ~b - c and =2 c - a . Then, aligned & [ array ccc & & array ]= | array ccc 2 & -1 & 0 0 & 2 & -1 -1 & 0 & 2 array | [ array lll a & ~b & c array ] & [ array lll & & array ]=7 [ array lll a & ~b & c array ]=7(0)=0 aligned

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