A plane mirror coincides with a plane having equation x = 3. A particle is moving along a line with direction rations 3,4,5. If speed of the particle is `sqrt(2)`, the velocity of its image is

Options

A. `(3)/(5)hat(j)(4)/(5)hat(j)(1)/(5)hat(k)`
B. `-(3)/(5)hat(j)-(4)/(5)hat(j)-hat(k)`
C. `(3)/(5)hat(j)+(4)/(5)hat(j)-(1)/(5)hat(k)`
D. `-(3)/(5)hat(j)+(4)/(5)hat(j)+hat(k)`

Answer

D

Explanation

`V_("object")=sqrt(2)((3)/(5 sqrt(2))hat(i)+(4)/(5 sqrt(2))hat(j)+(4)/(5sqrt(2))hat(k))`
`V_("image") = sqrt(2) (-3)/(5 sqrt(2))hat(i)+(4)/(5 sqrt(2))hat(j)+(5)/(5 sqrt(2))hat(k)`.