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MHT CET202311 May 2023Morning ShiftMathematicsVector AlgebraActual

Let a , b and c be three unit vectors such that a ( b c )= 3 2 ( b + c ) . If b is not parallel to c , then the angle between a and b is

Options

  1. A5 6
  2. B2 3
  3. C6
  4. D3

Correct answer

A. 5 6

Step-by-step solution

aligned & a ( b c )= 3 2 ( b + c ) & ( a c ) b -( a b ) c = 3 2 b + 3 2 c aligned On comparing, we get aligned & a c = 3 2 and a b =- 3 2 & | a || b | =- 3 2 & =- 3 2 & = 5 6 aligned

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