Let â and b̂ Be Unit Vectors..... | JEE Main 2022 | Vectors

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JEE MAIN 2022

24-06-2022 S1

Question

Let $\hat{a}, \hat{b}$ be unit vectors. If $\vec{c}$ be a vector such that the angle between $\hat{a}$ and $\hat{c}$ is $\frac{\pi}{12}$, and $\hat{b}=\vec{c}+2(\vec{c} \times \hat{a})$, then $|6 \vec{c}|^2$ is equal to

Select the correct option:

A

$6(3-\sqrt{3})$

B

$3+\sqrt{3}$

C

$6(3+\sqrt{3})$

D

$6(\sqrt{3}+1)$

✓ Correct! Well done.

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