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MHT CET202411 May 2024Evening 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. A3 4
  2. B2
  3. C2 3
  4. D5 6

Correct answer

D. 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 & a c = 3 2 and a b = - 3 2 & | a || b | = - 3 2 & = - 3 2 = 5 6 & = 5 6 aligned

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