Q: Find parametric equations for the line through the point (0, 1, 2) that is parallel to the plane and perpendicular to the line
I'm having trouble coming up with a sensible approach to this problem (my understanding of point/line/plane interaction is a bit shaky as solutions to similar problem have been found by applying methods used in the book examples)
I know an equation of a line is given by where is position vector of a point on the line and is a vector parallel with the line. The vector, , is the normal vector for the parallel plane, and is the vector in the direction of the perpendicular line. Is this all I need to solve? If so, where do I go from here?