NEET UG PHYSICS MCQ: MOTION IN PLANE

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The vector

\hat{\mathbf{i}}+\mathrm{x} \hat{\mathbf{j}}+3 \hat{\mathrm{k}}

is rotated through an angle

\theta

and doubled in magnitude, then it becomes

4 \hat{i}+(4 x-2) \hat{j}+2 \hat{k}

. The possible positive value of

x

View answer and explanation

Correct option: D

Option D (2) is correct because by equating the magnitudes and using the given transformation, we can solve for x and find the positive value.

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\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)