1
JEE Main 2026 (Online) 2nd April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The velocity of a particle is given as $\vec{v} = -x \hat{i} + 2y \hat{j} - z \hat{k}$ m/s. The magnitude of acceleration at point (1, 2, 4) is ________ m/s2.

A

$\sqrt{6}$

B

$9$

C

$\sqrt{33}$

D

$0$

2
JEE Main 2024 (Online) 5th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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

A
$$ \tan ^{-1}(\mathrm{P} / \mathrm{Q}) $$
B
0$$^\circ$$
C
$$ \tan ^{-1} \frac{(2 \vec{Q}-2 \vec{P})}{2 \vec{Q}+2 \vec{P}} $$
D
$$ \tan ^{-1}(2 Q / \mathrm{P}) $$
3
JEE Main 2024 (Online) 31st January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If two vectors $$\vec{A}$$ and $$\vec{B}$$ having equal magnitude $$R$$ are inclined at angle $$\theta$$, then

A
$$|\vec{A}+\vec{B}|=2 R \cos \left(\frac{\theta}{2}\right)$$
B
$$|\vec{A}-\vec{B}|=2 R \cos \left(\frac{\theta}{2}\right)$$
C
$$|\vec{A}-\vec{B}|=\sqrt{2} R \sin \left(\frac{\theta}{2}\right)$$
D
$$|\vec{A}+\vec{B}|=2 R \sin \left(\frac{\theta}{2}\right)$$
4
JEE Main 2023 (Online) 15th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A vector in $x-y$ plane makes an angle of $30^{\circ}$ with $y$-axis. The magnitude of $\mathrm{y}$-component of vector is $2 \sqrt{3}$. The magnitude of $x$-component of the vector will be :
A
$\sqrt{3}$
B
2
C
6
D
$\frac{1}{\sqrt{3}}$

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