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

Options

A. If both Assertion and Reason are true and the 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 the Reason is false
D. If both Assertion and Reason are false

Answer

A

Explanation

If `vecA` and `vecB` are inclined at an angle `gt(pi)/2`, their resultant has a magnitude
`R=sqrt(A^(2)+B^(2)+2ABcos theta)`
which is less than both A and B when they are nearly equal.