Question

How do you find the parametric equations for the line through the point (2,3,4) and perpendicular to the plane 3x + 2y -Z = 6?

Answer 1

`vec r(t) = ((2),(3),(4))+t((3),(2),(-1))`

Explanation:

the vector that is normal to that plane is `((3),(2),(-1))`

so `vec r(t) = ((2),(3),(4))+t((3),(2),(-1))`