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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

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

The correct option is C 6^i+8^j
The relative velocity of boat w.r.t to water is given as
Vbw=VbVw
Given, Vb=3^i+4^j, Vw=3^i4^j
Thus, we have
Vbw=(3^i+4^j)(3^i4^j)=6^i+8^j

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