Given $\theta $ is the angle between ${\rm{\vec A}}\,and\,{\rm{\vec B}}$. Then $\left| {\hat A \times \hat B\;} \right|$ is equal to

${\mathop{\rm Tan}\nolimits} \theta $

NEET UG PHYSICS MCQ: MOTION IN PLANE

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Understanding +4 | -1

Given

\theta

is the angle between

\mathrm{\vec A}\,and\,\mathrm{\vec B}

. Then

\left| {\hat A \times \hat B\;} \right|

is equal to

View answer and explanation

Correct option: A

\sin \theta

Option A (

\sin \theta

) is correct because the magnitude of the cross product of two unit vectors is the sine of the angle between them.

Practice All Chapter MCQs →

\mathrm{\vec a}\,and\,\mathrm{\vec b}

\mathrm{\vec a}\,and\,\mathrm{\vec b}

\overrightarrow P \,\,.\,\,\overrightarrow Q = 0\,and\,\overrightarrow P \,\, \times \,\,\overrightarrow Q = 0

\overrightarrow Q \,and\,\overrightarrow R

\vec{A}=3 \hat{i}+4 \hat{j}

\vec{B}=6 \hat{i}+8 \hat{j}

A

B

\overrightarrow{\mathrm{A}}

\overrightarrow{\mathrm{B}}

{\cot ^{ - 1}}\left( 2 \right)