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Q.
The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors $\vec{ a }, \vec{ b }$ and $\vec{ c }$ respectively. Then choose the correct relation for these vectors.
JEE MainJEE Main 2021Ray Optics and Optical Instruments
Solution:
$\vec{ a }=\sin \theta \hat{ i }-\cos \theta \hat{ j }$
$\vec{ b }=\sin \theta \hat{ i }+\cos \theta \hat{ j }$
$\vec{ c }=\hat{ j }$
$\vec{ a }-2(\vec{ a } \cdot \vec{ c }) \vec{ c }=\sin \theta \hat{ i }+\cos \theta \hat{ j }$
