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Asserion: Magnitude of the resultant of ...

Asserion: 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.

A

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

B

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

C

If assertion is true but reason is false.

D

If both aseertion and reason are false.

Text Solution

Verified by Experts

The correct Answer is:
B

If `vec(a)` and `vec(b)` are inclined at an angle greater than `90^(@)`, their resultant has magnitude
`R=sqrt(a^(2)+b^(2)+2ab cos theta)`
Which is less than both a and b, when they are nearly equal.
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