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Mathematics in Physics

JEE Main level, single correct, medium

53 of 121

Question 53 of 121

If $\vec{A} \times \vec{B}=\vec{B} \times \vec{A}$ , then the angle between $A$ and $B$ is

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Answer: (A) $\pi$

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JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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More Physics practice

Mathematics in PhysicsA vector has magnitude same as that of $\vec{A}=3\hat{j}+4\hat{j}$ and is parallel to $\vec{B}=4\hat{i}+3\hat{j}$ . The $x$ and $y$ components of this vector in first quadrant are $x$ and $3$ respectively where $x=$ ____.
Mathematics in PhysicsTwo vectors $\vec{X}$ and $\vec{Y}$ have equal magnitude. The magnitude of $(\vec{X}-\vec{Y})$ is $n$ times the magnitude of $(\vec{X}+\vec{Y})$ . The angle between $\vec{X}$ and $\vec{Y}$ is :
Mathematics in PhysicsA particle is moving with a velocity $\vec{v}=K\left(y\hat{i}+x\hat{j}\right),$ where $K$ is a constant.

The general equation for its path is:
Mathematics in PhysicsTwo particles are located at equal distance from origin. The position vectors of those are represented by $\bar{A}=2 \hat{i}+3 n \hat{j}+2 \hat{k}$ and $\bar{B}=2 \hat{i}-2 \hat{j}+4 p \hat{k}$ , respectively. If both the vectors are at right angle to each other, the value of $\mathrm{n}^{-1}$ is _____ .
Mathematics in PhysicsThe resultant of two vectors $\vec{A}$ and $\vec{B}$ is perpendicular to $\vec{A}$ and its magnitude is half that of $\vec{B}$ . The angle between vectors $\vec{A}$ and $\vec{B}$ is ______ $\circ$ .
Mathematics in PhysicsIf $\vec{a}$ and $\vec{b}$ makes an angle $\cos ^{-1}\left(\frac{5}{9}\right)$ with each other, then $|\vec{a}+\vec{b}|=\sqrt{2}|\vec{a}-\vec{b}|$ for $|\vec{a}|=n|\vec{b}|$ The integer value of $\mathrm{n}$ is ____

JEE Main Physics practice question on Mathematics in Physics (Multiplication of Vectors), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

If A⃗×B⃗=B⃗×A⃗\vec{A} \times \vec{B}=\vec{B} \times \vec{A}A×B=B×A, then the angle between AAA and BBB is

JEE Main question paper PDF

More Physics practice

If $\vec{A} \times \vec{B}=\vec{B} \times \vec{A}$ , then the angle between $A$ and $B$ is