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JEE Main 20245 AprilMorning Shift

Exam: JEE Main
Year: 2024
Date: 5 April
Shift: Morning Shift
Subject: Physics
Chapter: Mathematics in Physics

JEE Main 2024 · 5 April · Morning Shift · Physics · Mathematics in Physics

The angle between vector Q and the resultant of (2 Q +2 P ) and (2...

The angle between vector

\vec{Q}

and the resultant of

(2 \vec{Q}+2 \vec{P})

and

(2 \vec{Q}-2 \vec{P})

is :

Options

A $\tan ^{-1} \frac{(2 \vec{Q}-2 \vec{P})}{2 \vec{Q}+2 \vec{P}}$
B $0^{\circ}$
C $\tan ^{-1}(\mathrm{P} / \mathrm{Q})$
D $\tan ^{-1}(2 \mathrm{Q} / \mathrm{P})$

Correct answer

B. $0^{\circ}$

Step-by-step solution

\begin{aligned} & \overrightarrow{\mathrm{R}}=(2 \overrightarrow{\mathrm{Q}}+2 \overrightarrow{\mathrm{P}})+(2 \overrightarrow{\mathrm{Q}}-2 \overrightarrow{\mathrm{P}}) \\ & \overrightarrow{\mathrm{R}}=4 \overrightarrow{\mathrm{Q}} \end{aligned}

Angle between

\vec{Q}

and

\vec{R}

is zero.

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