I'm struggling with a problem on my Calculus III homework assignment. The question asks:
Find an equation for the plane that is perpendicular to the line l(t) = (8, 0, 3)t + (8, −1, 1) and passes through (6, −1, 0).
I only know how to find an equation for a plane that is perpendicular to a vector and passes through a point, but I don't understand how to find a vector through a line. Can you please explain to me how to find or choose a vector that passes through a line and a point?