The length of the perpendicular from the point \( (1, -2, 5) \) on the line passing through \( (1, 2, 4) \) and parallel to the line given by \( x + y - z = 0 \) and \( x - 2y + 3z - 5 = 0 \) is:
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To find the perpendicular distance from a point to a line in 3D, use the formula that incorporates the direction ratios of the line and the coordinates of the point.