Assertion : Magnitude of the resultant of two vectors may be less than the magnitude of either vector.
Reason : The resultant of two vectors is obtained by means of law of parallelogram of vectors.

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If both assertion and reason are true but reason is not the correct explanation of assertion.

If assertion is true but reason is false.

If both assertion and reason are false.

If both assertion and reason are true and reason is the correct explanation of assertion.

answer is B.

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Detailed Solution

If $\vec{a}$ and $\vec{b}$ are inclined at an angle greater than $90 °$ , their resultant has magnitude,

$R = \sqrt{a^{2} + b^{2} + 2 a b \cos θ}$

which is less than both $a$ and $b$ , when they are nearly equal.

Resultant of two vectors are obtained by law of parallelogram of vectors.

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