Vectors Question 179

A boat is moving with a velocity $ 3\hat{i}+4\hat{j} $ with respect to ground. The water in the river is moving with a velocity $ 3\hat{i}-4\hat{j} $ with respect to ground. The relative velocity of the boat with respect to water is

[CPMT 1998]

Options:

A) $ 8\hat{j} $

$ 6\hat{i} + 8\hat{j} $

C) $ 6\hat{i}+8\hat{j} $

D) $ 5\sqrt{2} $

Show Answer

Answer:

Correct Answer: C

Solution:

Relative velocity $ =( 3\hat{i}+4\hat{j} )\cdot( 3\hat{i}-4\hat{j} )=6\hat{i}-8\hat{j} $



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