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JEE Main202226 Jun 2022Morning ShiftMathematicsVector AlgebraActual

If a → · b → = 1 , b → · c → = 2 and c → · a → = 3 , then the value of a → × b → × c → b → × c → × a → c → × b → × a → is

Options

  1. A0
  2. B- 6 a → · b → × c →
  3. C12 c → · a → × b →
  4. D- 12 b → · c → × a →

Correct answer

A. 0

Step-by-step solution

We know that a → × b → × c → ,   b → × c → × a → and c → × a → × b → are all coplanar as a → × b → × c → +   b → × c → × a → + c → × a → × b → = 0 → . Also, the scalar triple product of 3 vectors which are coplanar is 0 . Hence, a → × b → × c →     b → × c → × a → &#160

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