Find a point on the line \( \frac{x - 2}{3} = \frac{1 - y}{2} = \frac{z - 3}{2} \) at a distance of \( \sqrt{2} \) units from the point \( (1, 2, 3) \).
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Always ensure the variables \(x, y, z\) in line equations have a coefficient of \(+1\) before setting them equal to \(\lambda\), otherwise the sign of the directional ratios will be incorrect.