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NEET UG PHYSICS MCQ: MOTION IN PLANE

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Understanding +4 | -1

Statement-I: If

\theta

be the angle between

\vec{a}

and

\overrightarrow{\mathrm{b}}

, then

\tan \theta=\frac{|\vec{a} \times \vec{b}|}{\vec{a} \cdot \vec{b}}

Statement-II:

\vec{a} \times \vec{b}

is perpendicular to

\vec{a} . \vec{b}

View answer and explanation

Correct option: B

Statement-I is true and statement-II is false

Statement-I is true because the tangent of the angle between two vectors is indeed the ratio of the magnitude of their cross product to their dot product. Statement-II is false because the cross product and dot product result in a vector and a scalar, respectively, so they cannot be perpendicular.

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