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

Answer

C

Explanation

`vec(v)_(b//g)=3i+4j`
`vec(v)_(w//g)=-3i-4j`
`vec(v)_(b//w)=vec(v)_(b//g)-vec(v)_(b//g)-vec(v)_(w//g)=6i+8j`