A boat is moving with velocity of 3î + 4ĵ

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A boat is moving with velocity of $3\hat i + 4\hat j$ in river and water is moving with a velocity of $ - 3\hat i - 4\hat j$ with respect to ground. Relative velocity of boat with respect to water is :

A

$ - 6\hat i - 8\hat j$

B

$6\hat i + 8\hat j$

C

$8\hat i$

D

$6\hat i$

A boat is moving with velocity of $3\hat i + 4\hat j$ in river and water is moving with a velocity of $ - 3\hat i - 4\hat j$ with respect to ground. Relative velocity of boat with respect to water is :

The relative velocity of boat w.r.t. water

$ = {v_{boat}} - {v_{water}}$$ = (3\;\hat i + 4\;\hat j) - ( - 3\;\hat i - 4\;\hat j)$$ = 6\;\hat i + 8\;\hat j$