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MHT CET2019Morning ShiftMathematicsVector AlgebraActual

For any non-zero vector, a, b, c a . b + c × a + b + c = … .

Options

  1. A0
  2. B2 a b c
  3. Ca b c
  4. Da c b

Correct answer

A. 0

Step-by-step solution

We have, a . b + c × a + b + c = a . b × a + b × b + b × c + c × a + c × b + c × c = a . b × a + b × c + c × a + c × b = a b × a + b × c + c × a - b × c = a b × a + c × a = a b a + a c a = 0 + 0 = 0

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