Q.

 If the resultant of the two forces has a magnitude smaller than the magnitude of the larger force, the two forces may

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a

point in same direction

b

point in opposite direction

c

mutually perpendicular to one another

d

Both (B) and (C) are true

answer is C.

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Detailed Solution

Let A>B

R=A2+B2+2ABcosθ

If 0θ90° , then R>A
  
In order that R<A, then cosθ must be negative. It means θ must be obtuse but not necessarily 180°  . 
Further, 2ABcosθ>B2cosθ>B2A
If vectors are in same direction, then the resultant is sum of the individual magnitudes.
If vectors point in opposite direction, the resultant is difference between their magnitudes.

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