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.

Question

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. (A)  vec b = vec a +2 vec c  (B)  vec b =2 vec a + vec c  (C)  vec b = vec a -2( vec a ⋅ vec c ) vec c  (D)  vec b = vec a - vec c

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/c8b92753a6e1b49f3a2eba7410ea6e05-.png" /> vec a = sin θ hat i - cos θ hat j vec b = sin θ hat i + cos θ hat j vec c = hat j vec a -2( vec a ⋅ vec c ) vec c = sin θ hat i + cos θ hat j

Q. The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors $a, b$ and $c$ respectively. Then choose the correct relation for these vectors.

$b = a + 2 c$

$b = 2 a + c$

$b = a - 2 (a \cdot c) c$

$b = a - c$

$a = sin θ \hat{i} - cos θ \hat{j}$
$b = sin θ \hat{i} + cos θ \hat{j}$
$c = \hat{j}$
$a - 2 (a \cdot c) c = sin θ \hat{i} + cos θ \hat{j}$

Q. The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors a,b and c respectively. Then choose the correct relation for these vectors.

b=a+2c

b=2a+c

b=a−2(a⋅c)c

b=a−c