Example 11: Finding the Equation of a Line Perpendicular to a Given Line Passing through a Point. A line passes through the points (–2, 6) and (4, 5). Find the equation of a perpendicular line that passes through the point (4, 5).

Baldi mods androidMar 29, 2013 · With that said, that line L1 goes through the point P1 (-2,2,-3) and its principal vector is V1 [3,4,5] What you need is a vector V2, such that it is perpendicular to V1 and the equation of the line going through point P2 (1,0,5) parallel to V2, also intersect L1 in P3 (xo,yo,zo). V2 could be [ xo-1, yo, zo-5 ].

Two lines are parallel if their direction vectors are parallel. If two lines are not parallel, we can –nd if they intersect if there exists values of the parameters in their equations which produce the same point. More speci–cally, if the –rst line has equation !r 0 +t!v and the second line has equation! R 0 +s!u then they