$\left( {{\rm{\vec P}} + {\rm{\vec Q}}} \right)$ is a unit vector along X-axis. If ${\rm{\vec P}} = \hat i - \hat j + \hat k,$ then what value is ${\rm{\vec Q}}?$

NEET UG PHYSICS MCQ: MOTION IN PLANE

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\left( {\mathrm{\vec P} + \mathrm{\vec Q}} \right)

is a unit vector along X-axis. If

\mathrm{\vec P} = \hat i - \hat j + \hat k,

then what value is

\mathrm{\vec Q}?

View answer and explanation

Correct option: B

\hat j - \hat k

Option D (

\hat j - \hat k

) is correct because the sum of

\vec P

and

\vec Q

must result in a unit vector along the x-axis, which is

\hat i

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)