A plane mirror is moving with velocity `4 (hat i) + 4 (hat j) + 8 (hat k)`. A point object in front of the mirror moves with a velocity `3 (hat i) + 4 (hat j) + 5 (hat k)`. Here, `hat k` is along the normal to the plane mirror and facing towards the object. The velocity of the image is

Options

A. `-3hati-4hatj+5hatk`
B. `3hati+4hatj+11hatk`
C. `-3hati-4hatj+11 hatk`
D. `7hati+9hatj+11hatk`

Answer

B

Explanation

`vec(V)_(0)=3hati+4hatj+5hatk` `vec(V)_(m)=4hati+5hatj+8hatk`
`V_(lz)=2V_(lnz)-V_(oz)=2xx8-5=11`
`V_(lx)=V_("ox")=3`
`V_(ly)=V_(oy)=4`
`vec(V)_(1)=3hati+4hatj+11 hatk`