A plane mirror is placed along the x-axis facing negative y-axis. The mirror is fixed, A point object is moving with `3hati+4hatj` in front of the plane mirror. The relative velocity of image with respect to its object is

Options

A. `-8 hatj`
B. 8 hatj`
C. `3 hati-4 hatj`
D. `-6 hati`

Answer

A

Explanation

Velocity of object,
`vecv_(ab)=3 hati +4 hatj`
Velocity of image,
`vecv_("image")=3 hati -4 hatj`
Relative velocity of image with recpect to its object
`vecv_(re)=vecv_("image")-vecv_(ab)=(3 hati -4 hatj )=-8 hatj`