1. Tardigrade
  2. Question
  3. Mathematics
  4. 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.

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Q. 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 $2 \alpha$ equals to the vector obtained from $\vec{V}$ by rotating it by $\alpha$ then the value of $\alpha$, is where $n$ is an integer.

Vector Algebra

Solution:

Correct answer is (a) $2 n \pi \pm \frac{\pi}{3}$