For some non zero vector vec V , if the sum of vec V and the vector obtained from vec V by rotating it by an angle 2 α equals to the vector obtained from vecV by rotating it by α then the value of α, is where n is an integer.

Question

For some non zero vector vec V , if the sum of vec V and the vector obtained from vec V by rotating it by an angle 2 α equals to the vector obtained from vecV by rotating it by α then the value of α, is where n is an integer. (A) 2 n π ± (π/3) (B) n π ± (π/3) (C) 2 n π ± (2 π/3) (D) n π ± (2 π/3)

Tardigrade Admin · Accepted Answer

Correct answer is (a) 2 n π ± (π/3)

Q. For some non zero vector $V$ , if the sum of $V$ and the vector obtained from $V$ by rotating it by an angle $2 α$ equals to the vector obtained from $V$ by rotating it by $α$ then the value of $α$ , is where $n$ is an integer.

$2 nπ \pm \frac{π}{3}$

$nπ \pm \frac{π}{3}$

$2 nπ \pm \frac{2 π}{3}$

$nπ \pm \frac{2 π}{3}$

Correct answer is (a) $2 nπ \pm \frac{π}{3}$

Q. For some non zero vector V, if the sum of V and the vector obtained from V by rotating it by an angle 2α equals to the vector obtained from V by rotating it by α then the value of α, is where n is an integer.

2nπ±3π​

nπ±3π​

2nπ±32π​

nπ±32π​