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Question

A boat is moving with a velocity 3^i+4^j with respect to ground. The water in the river is moving with a velocity 3^i4^j with respect to ground. The relative velocity of the boat with respect to water is
  1. 8^j
  2. 6^i+8^j
  3. 6^i8^j
  4. 52^j


Solution

The correct option is B 6^i+8^j
Given, velocity of boat w.r.t. ground Vbg=3^i+4^j
and, velocity of river water Vwg=3^i4^j
Relative velocity of boat with respect to river water is given by
Vbw=VbgVwg=(3^i+4^j)(3^i4^j)
=6^i+8^j

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