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Tony's Intertwingled Memex • Reference Manual

Structural Civil Engineering (Conduit & Support Cable Clearance)

Formulas & Definitions

A high-tension steel stabilization cable anchors a section of an open-air building terminal. The cable forms a line mapped by the parametric path:

x=2+t,y=−1+2t,z=3−2t(in meters)x = 2 + t, \quad y = -1 + 2t, \quad z = 3 - 2t \quad (\text{in meters})

A high-voltage main electrical line passes nearby and is treated as a point target located at M=(5,5,2)M = (5, 5, 2).

  1. Calculate the shortest (perpendicular) distance from the electrical wire point to the steel structural cable.