This example determines an equation for a line that lies in a given plane, is perpendiculat to a given line, and is at a given distance from the point of intersection of the given line and plane.
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SolutionLP-13-LinesPlaneEquidistantFromPoint.mw
Solution LP-13 Lines in a Plane Equidistant from a Point.zip
Cross Product Norm of a Vector Solve Equations Analytically
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