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$\mathop {\rm{A}}\limits^ \to $અને $\mathop {\rm{B}}\limits^ \to $એ સદિશો છે. નીચે આપેલા પૈકી કયું વિધાન ખોટું છે ?
$\mathop {\rm{A}}\limits^ \to .\mathop {\rm{B}}\limits^ \to \,\, = \,\,\mathop {\rm{B}}\limits^ \to .\mathop {\rm{A}}\limits^ \to $
$\mathop {\rm{A}}\limits^ \to + \mathop {\rm{B}}\limits^ \to \,\, = \,\,\mathop {\rm{B}}\limits^ \to + \mathop {\rm{A}}\limits^ \to $
$\mathop {\rm{A}}\limits^ \to \times \mathop {\rm{B}}\limits^ \to \,\, = \,\,\mathop {\rm{B}}\limits^ \to \times \mathop {\rm{A}}\limits^ \to $
$\mathop {\rm{A}}\limits^ \to \times \mathop {\rm{B}}\limits^ \to \,\, = \,\, - \mathop {\rm{B}}\limits^ \to \times \mathop {\rm{A}}\limits^ \to $
Solution
Similar Questions
જો $\left| {\vec A } \right|\, = \,2$ અને $\left| {\vec B } \right|\, = \,4$ હોય, તો કોલમ $-II$ માં આપેલા ખૂણાને અનુરૂપ કોલમ $-I$ માં આપેલા યોગ્ય સંબંધ સાથે જોડો.
કોલમ $-I$ | કોલમ $-II$ |
$(a)$ $\left| {\vec A \, \times \,\,\vec B } \right|\, = \,\,0$ | $(i)$ $\theta = \,{30^o}$ |
$(b)$ $\left| {\vec A \, \times \,\,\vec B } \right|\, = \,\,8$ | $(ii)$ $\theta = \,{45^o}$ |
$(c)$ $\left| {\vec A \, \times \,\,\vec B } \right|\, = \,\,4$ | $(iii)$ $\theta = \,{90^o}$ |
$(d)$ $\left| {\vec A \, \times \,\,\vec B } \right|\, = \,\,4\sqrt 2$ | $(iv)$ $\theta = \,{0^o}$ |