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MHT CET2016MathematicsVector Algebra

M and N are the mid points of the diagonals A C and B D respectively of quadrilateral A B C D , then A B → + A D → + C B → + C D → =

Options

  1. A2 M N →
  2. B2 N M →
  3. C4 M N →
  4. D4 N M →

Correct answer

C. 4 M N →

Step-by-step solution

A B - + A D - + C B - + C D - = … = b - - a - + d - - a - + b - - c - + d - - c - = 2 b - + d - - ( a - + c - ) = 4 b - + d - 2 - a - + c - 2 = 4 M N -

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