NEET UG PHYSICS MCQ: MOTION IN PLANE

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Analyzing +4 | -1

Statement-I: If the magnitude of the sum of two unit vectors is a unit vector, then magnitude of their difference is

\sqrt{3}

Statement-II:

|\vec{a}|+|\vec{b}|=|\vec{a}+\vec{b}|

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Correct option: B

Statement-I is true and statement-II is false

Statement-I is true because the magnitude of the difference of two unit vectors whose sum has unit magnitude is indeed

\sqrt{3}

. Statement-II is false because it only holds when the vectors are in the same direction.

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

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\vec{A}=3 \hat{i}+4 \hat{j}

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\overrightarrow{\mathrm{A}}

\overrightarrow{\mathrm{B}}

{\cot ^{ - 1}}\left( 2 \right)