Angle between ${\rm{\vec A}}\,and\,{\rm{\vec B}}\,\,is\,\theta $ What is the value of ${\rm{\vec A}}.\left( {{\rm{\vec B}} \times {\rm{\vec A}}} \right)?$

${A^2}B\;{\rm{sin\theta cos\theta }}$

NEET UG PHYSICS MCQ: MOTION IN PLANE

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Angle between

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

What is the value of

\mathrm{\vec A}.\left( {\mathrm{\vec B} \times \mathrm{\vec A}} \right)?

View answer and explanation

Correct option: D

Zero

Option D (Zero) is correct because the scalar triple product of vectors where two are the same is always zero.

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)