A) \[(1,\,1<-1)\]
B) (1, 1, 1)
C) \[(-1,-1,-1)\]
D) \[(-1,-1,1)\]
Correct Answer: B
Solution :
\[\vec{n}={{\vec{n}}_{1}}\times {{\vec{n}}_{2}}=\left| \begin{matrix} {\hat{i}} & {\hat{j}} & {\hat{k}} \\ 3 & -1 & 2 \\ 1 & 2 & 3 \\ \end{matrix} \right|\] |
\[=7\hat{i}-7\hat{j}+7\hat{k}\] |
Equation of plane is |
\[-7(x-4)-7(y+1)+7(z-2)=0\] |
\[\Rightarrow \] \[-7x-7y+7z+7=0\] |
\[\Rightarrow \] \[x+y-z=1.\] |
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