Plane equation P: 4x + 4y -5z = 14.
Find a vector equation, parametric equations, and Cartesian equations for the line L that passes through the origin and is perpendicular to the plane P.
Can someone point me in the right direction or maybe explain how I should go about solving this question? Thanks a bunch!
Best Answer
The direction vector of the line is the normal vector to the plane which is $<4,4,-5>$
Thus you get $$x=4t, y=4t,z=-5t$$ for parametric and $$x/4=y/4=z/{-5}$$ for canonical form of the line.