Question

The drawing shows a top view of a square room. One wall is missing and the other three are each mirrors. From point p in the centre of the open side, a laser is fired, with the intent of hitting a small target located at the centre of one wall. Identify vector in whose direction the laser can be fired and score a hit, assuming that the light does not strike any mirror more than once.

A. `hat(i)/3+hat(j)`
B. `hat(i)+hat(j)`
C. `-hat(i)+hat(j)`
D. `-hat(i)+hat(j)/3`

Answer 1

Correct Answer - A::B::C::D
`tantheta=4/x=(x-y)/(2x)`
`2xy=x^(2)-yx`
`3xy=x^(2)`
`y=x/3`
`-xhat(i)+x/3hat(j)`