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જો ત્રણ સદિશ વચ્ચેનો સંબંધ $\vec A . \vec B =0 $ અને $\vec A . \vec C =0$ હોય તો $\vec A $ ને સમાંતર .... થાય
$\mathop C\limits^ \to $
$\mathop B\limits^ \to $
$\mathop B\limits^ \to \, \times \mathop C\limits^ \to $
$\mathop B\limits^ \to .\mathop C\limits^ \to $
Solution
$\mathop {\rm{A}}\limits^ \to .\mathop {\rm{B}}\limits^ \to \,\, = \,\,0\,\, \Rightarrow \,\,\mathop {\rm{A}}\limits^ \to \, \bot \,\,\mathop {\rm{B}}\limits^ \to \,\,$ અને $ \mathop {\rm{A}}\limits^ \to .\mathop {\rm{C}}\limits^ \to \,\, = \,\,0\,\, \Rightarrow \,\,\mathop {\rm{A}}\limits^ \to \,\, \bot \,\,\mathop {\rm{C}}\limits^ \to $
$\mathop {\rm{B}}\limits^ \to \,\, \times \,\,\mathop {\rm{C}}\limits^ \to \,\, = \,\,0$ એ $\vec B $ અને $\vec C $ ના સમતલને લંબ $\bot $ છે . તેની $\mathop {\rm{A}}\limits^ \to \,\,||\,\left( {\mathop {\rm{B}}\limits^ \to \,\, \times \,\,\mathop {\rm{C}}\limits^ \to } \right)$
