A) \[\vec{A}\] and \[\vec{B}\] are perpendicular to each other
B) \[\vec{A}\] and \[\vec{B}\] act in the same direction
C) \[\vec{A}\] and \[\vec{B}\] act in the opposite direction
D) \[\vec{A}\] and \[\vec{B}\] can act in any direction
Correct Answer: C
Solution :
\[\overrightarrow{A}.\overrightarrow{B}=AB\cos \theta \] In the problem \[\overrightarrow{A}.\overrightarrow{B}=-AB\]i.e. \[\cos \theta =-1\]\ \[\theta =180{}^\circ \] i.e. \[\overrightarrow{A}\] and \[\overrightarrow{B}\] acts in the opposite direction.
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