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Question

A boat is moving with a velocity v=3^i+4^j with respect to ground. The water in the river is moving with a velocity u=3^i4^j with respect to ground. The relative velocity of boat with respect to water is :

A
6^i+8^j
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B
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C
6^i8^j
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D
6^i+8^j
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Solution

The correct option is B 6^i+8^j
v= Velocity of boat wrt ground =3^i+4^j
u= Velocity of water wrt ground =3^i4^j
VBW= Relative velocity of boat w.r.t. water.
VBW=vu
So, VBW=(3^i+4^j)(3^i4^j)=6^i+8^j

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