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જો $\mathop {\,{\text{A}}}\limits^ \to \,\, \times \;\,\mathop {\text{B}}\limits^ \to \,\, = \,\,\mathop 0\limits^ \to \,$ અને $\mathop {\,{\text{B}}}\limits^ \to \,\, \times \;\,\mathop {\text{C}}\limits^ \to \,\, = \,\,\mathop 0\limits^ \to $ હોય તો $\mathop {\,{\text{A}}}\limits^ \to \,$ અને $\mathop {\text{C}}\limits^ \to $ વચ્ચેનો ખૂણો ક્યો હશે ?
$0$
$\frac{\pi }{4}$
$\frac{\pi }{2}$
આપેલ પૈકી એક પણ નહિ
Solution
$\left. {\begin{array}{*{20}{c}}
{\mathop A\limits^ \to \,\, \times \,\mathop B\limits^ \to \,\, = \,\,0\,\, \Rightarrow \,\,\mathop A\limits^ \to \,\,||\,\,\mathop B\limits^ \to } \\
{\mathop B\limits^ \to \,\, \times \,\mathop C\limits^ \to \,\, = \,\,0\,\, \Rightarrow \,\,\mathop B\limits^ \to \,.||\,\,\mathop C\limits^ \to \;\,}
\end{array}} \right\}\,\, \Rightarrow \,\,\mathop A\limits^ \to \,\,||\,\,\mathop C\limits^ \to $
દા.ત $\mathop A\limits^ \to $ અને $\mathop C\limits^ \to $ વચ્ચેનો કોણ શૂન્ય છે.