$\overline {PQ} = \,\,x\overline {PR} \,\, + \,\,y\,\overline {PS} $ $ - \vec a \, - \,5\vec b \,\, + \,\,4\vec c \,\, = \,\,x\,\,\left( {\vec a \, + \,\vec b \,\, - \,\vec c } \right)\,\, + \;\,y\,\,\left( { - \vec a \,\, + \;\,\left( { - \lambda \,\, - \,\,3} \right)\,\vec b \,\, + \;\,7\vec c \,} \right)$
$\vec a \,,\,\,\vec b $ અને $\vec c $ ના સહગુણકોને સરખાવતાં
$\,{\text{ - 1}}\,\, = \,\,{\text{x}}\,\,{\text{ - }}\,\,{\text{y}}\,\,\,\,\,..........\left( {\text{1}} \right)$
$ - 5\,\, = \,\,x\,\, - \,\,\lambda y\,\, - \,\,3y\,\,\,\,\,........\left( 2 \right)$
$4\,\, = \,\, - x\,\, + \;\,7y\,\,\,\,............\left( 3 \right)$
$(1)$ અને $(3)$ ને ઉકેલતા
$\,x\,\, = \,\, - \frac{1}{2}\,\,$ અને $y\,\, = \,\,\frac{1}{2}$
$x$ અને $y$ ના આ મૂલ્યોને $(2)$ માં મૂકતાં $\lambda \,\,\, = \,\,6\,$ મળે.
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.