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Question

On a certain xy plane, coordinates of Batman's position is (1,2) m and coordinates of the position of Joker is (5,4) m. Find the position vector of Joker w.r.t. Batman. 
  1. (4^i2^j) m
  2. (4^i+2^j) m
  3. (2^i^j) m
  4. (2^i+^j) m


Solution

The correct option is B (4^i+2^j) m
Position vector of Batman, rB=^i+2^j m
Position vector of Joker, rj=5^i+4^j m
Position vector of Joker w.r.t. Batman, rjB=rjrB
=(5^i+4^j)(^i+2^j)
=(4^i+2^j) m

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