A boat is moving with a velocity `3 hat i+ 4hat 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.

Options

A. `8 hat j`
B. `-6 hat i - 8 hat j`
C. `6 hat i+ 8 hat j`
D. `5 sqrt(2))`

Answer

C

Explanation

( c) Relative velocity of boat with respect to water is
`vec v_b - vec v_w = 3 hat i + 4 hat j - (-3 hat i - 4 hat j) = 6 hat i + 8 hat j`.