If $\vec{a}, \vec{b}, \vec{c}$ are unit vectors such that $\vec{a} \cdot \vec{b}=\vec{a} \cdot \vec{c}=0$…

If $\vec{a}, \vec{b}, \vec{c}$ are unit vectors such that $\vec{a} \cdot \vec{b}=\vec{a} \cdot \vec{c}=0$ and the angle between $\vec{b}$ and $\vec{c}$ is $\pi / 3$, then $\vec{a}$ is equal to
  1. $2(\vec{b} \times \vec{c})$ only
  2. $-2(\vec{b} \times \vec{c})$ only
  3. $\pm \frac{2}{\sqrt{3}}(\vec{b} \times \vec{c})$
  4. $\pm 2(\vec{b} \times \vec{c})$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2020 (07 Oct Special)

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