The Angle Between Vector... | JEE Main 2024

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JEE MAIN 2024

05-04-24 S1

Question

The angle between vector $\vec{Q}$ and the resultant of $(2 \vec{Q}+2 \vec{P})$ and $(2 \vec{Q}-2 \vec{P})$ is:

Select the correct option:

$$ 0^{\circ} $$

$\tan ^{-1} \frac{(2 \vec{Q}-2 \vec{P})}{2 \vec{Q}+2 \vec{P}}$

$\tan ^{-1}\left(\frac{P}{Q}\right)$

$\tan ^{-1}\left(\frac{2 Q}{P}\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$$ \begin{aligned} & \vec{R}=(2 \vec{Q}+2 \vec{P})+(2 \vec{Q}-2 \vec{P}) \\ & \overrightarrow{\mathrm{R}}=4 \overrightarrow{\mathrm{Q}} \end{aligned} $$ Angle between $\vec{Q}$ and $\vec{R}$ is zero

Question Tags

JEE Main

Physics

Medium

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