how do you prove that the shortest distance from a point to a line ( ) in (or any ) is achieved along the perpendicular line connecting A to line( ).
Last edited by honks; Apr 16th 2009 at 02:16 PM.
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On the assumption that a unique perpendicular from point of line to point always exists, you may consider , where is any other point on line .
this is an assumption Originally Posted by Scott H that a unique perpendicular from point of line to point always exists how do we prove this though?
i understand that i must use the dot product and it should equal zero, where the shortest distance is when the point( ) is perpendicular to the line ( )
proved for two-dimensional space and then saw R3..OOPS!
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