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Question

Consider the parallelepiped with sides a=3^i+2^j+^k,b=^i+^j+^2k and c=^i+3^j+^3k then the angle between a and the plane containing the face determined by b and c is
  1. cos1(914)
     
  2. sin1(13)
     
  3. sin1(914)
     
  4. sin1(23)


Solution

The correct option is C sin1(914)
 
b×c=3^i^j+2^kCos(90θ)=a,|b×c||a||b×c|=914

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