The equation of the plane passing through the point \((1,2,3)\) and having the vector \(\bar{N}=3 i-j+2 k\) as its normal is
Step-by-step Solution:
Equation of the plane passing through \((1,2,3)\) and having the vector \(\bar{N}=3 i-j+2 k\) as its normal is \[\] \(\Rightarrow 3(x-1)+-1(y-2)+2(z-3)=0\) \[\] \(\Rightarrow 3 x-y+2 z-3+2-6=0\) \[\] \(3 x-y+2 z=7\) \[\] Choice (C)