Answer:
We
know that \[\overset{\to }{\mathop{A}}\,.\overset{\to }{\mathop{B}}\,=AB\cos
\theta \]; when vectors are orthogonal , \[\theta ={{90}^{o}}\]; So, \[\overset{\to
}{\mathop{A}}\,.\overset{\to }{\mathop{B}}\,=AB\cos {{90}^{o}}=0\]When vectors
are parallel, \[\theta ={{0}^{o}}\]; So, \[\overset{\to
}{\mathop{A}}\,.\overset{\to }{\mathop{B}}\,=AB\cos {{0}^{o}}=AB\left( Max.
\right)\]
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