MCQ
જો સદીશો $\vec a \,=\,\,\,\lambda i\,\, + \;\,2j\,\, - \,\,3k\,$ અને $\vec b \,\, = \,\,\sqrt {\lambda \,} i\,\, + \;\,\sqrt {13} \,\,j$ નો માનાંક સમાન હોય ,તો $\lambda \,$ નું મૂલ્ય.......
- A$0$
- B$1$
- ✓$0$ અથવા $1$
- Dઆપેલ પૈકી એકપણ નહીં.
$ \Rightarrow \,\,\sqrt {{\lambda ^{2\,\,}} + \,\,{{\left( 2 \right)}^2}\,\, + \;\,{{\left( { - 3} \right)}^2}} = \,\,\,\sqrt {{{\left( \lambda \right)}^2}\,\, + \;\,{{\left( {\sqrt {13} } \right)}^2}} $
$\Rightarrow \,\,{\lambda ^2}\,\, + \;\,13\,\, = \,\,\lambda \,\, + \,\,13$
$\therefore \,\,{\lambda ^2}\,\, - \,\,\lambda \,\, = \,\,0\,\, $
$\Rightarrow \,\,\lambda \,\, = \,\,0$ અથવા $1$
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