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Show that the lines (x-1)/1 = (y-1)/(-2)...

Show that the lines `(x-1)/1 = (y-1)/(-2)=(z-1)/1 and (x-2)/5 = (y+1)/1 = (z-2)/(-6)` are coplanar.

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To show that the lines \(\frac{x-1}{1} = \frac{y-1}{-2} = \frac{z-1}{1}\) and \(\frac{x-2}{5} = \frac{y+1}{1} = \frac{z-2}{-6}\) are coplanar, we will use the determinant method. ### Step 1: Identify the points and direction ratios of the lines The first line can be expressed in parametric form as: - Point \(A(1, 1, 1)\) (when \(t=0\)) - Direction ratios: \(l_1 = 1\), \(m_1 = -2\), \(n_1 = 1\) ...
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