A is a vector quantity such that |A| is non zero... | Vector Algebra

JEE MAIN 2022

25-06-2022 S1

Question

$\overrightarrow{\mathrm{A}}$ is a vector quantity such that $|\overrightarrow{\mathrm{A}}|=$ non zero constant. Which of the following expressions is true for $\overrightarrow{\mathrm{A}}$ ?

Select the correct option:

$\vec{A} \cdot \vec{A}=0$

$\overrightarrow{\mathrm{A}} \times \overrightarrow{\mathrm{A}}<0$

$\overrightarrow{\mathrm{A}} \times \overrightarrow{\mathrm{A}}=0$

$\vec{A} \times \vec{A}>0$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\begin{aligned} & |\overrightarrow{\mathrm{A}}| \neq 0 \\ & \overrightarrow{\mathrm{~A}} \times \overrightarrow{\mathrm{A}}=|\overrightarrow{\mathrm{A}} \| \overrightarrow{\mathrm{A}}| \sin 0^{\circ} \hat{\mathrm{n}}=0\end{aligned}$

Question Tags

JEE Main

Physics

Easy

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