The vectors ${\rm{\vec a}}\,and\,{\rm{\vec b}}$ are such that $\left| {{\rm{\vec a}} + {\rm{\vec b}}} \right| = \left| {{\rm{\vec a}} - {\rm{\vec b}}} \right|$. What is the angle between ${\rm{\vec a}}\,and\,{\rm{\vec b}}$ ?

NEET UG PHYSICS MCQ: MOTION IN PLANE

1 Medium

1 of 1

Application +4 | -1

The vectors

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

are such that

\left| {\mathrm{\vec a} + \mathrm{\vec b}} \right| = \left| {\mathrm{\vec a} - \mathrm{\vec b}} \right|

. What is the angle between

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

View answer and explanation

Correct option: B

{90^0}

Option B (

{90^0}

) is correct because if the magnitude of the sum of two vectors equals the magnitude of their difference, the vectors are perpendicular.

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)