A) \[\frac{7}{3}\]
B) 2
C) \[\frac{-10}{3}\]
D) \[\frac{5}{3}\]
Correct Answer: C
Solution :
Since \[\overrightarrow{a},\overrightarrow{b}\]and\[\overrightarrow{c}\]are non-coplanar vectors \[x+y-3=0,\]\[2x-y+2=0\]and\[2x+y+\lambda =0\] \[\Rightarrow \]\[\left| \begin{matrix} 1 & 1 & -3 \\ 2 & -1 & 2 \\ 2 & 1 & \lambda \\ \end{matrix} \right|=0\Rightarrow \lambda =\frac{-10}{3}\]You need to login to perform this action.
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