\(A\) and \(C\) are two points on the line \(\frac{x-6}{3}=\frac{y-7}{2}=\frac{z-7}{-2}\) such that \(A C=6 . \quad B\) …

\(A\) and \(C\) are two points on the line \(\frac{x-6}{3}=\frac{y-7}{2}=\frac{z-7}{-2}\) such that \(A C=6 . \quad B\) is \((1,1,-2)\). Find area of \(\triangle A B C\). (24 Jan, Shift I, Memory Based)