The question reads

"For what values of a and b is the line L othogonal to the plane 8x+4y+8z=14"

Line L is given in parametric equations.

x=15+2t

y=8+at

z=4+bt

If someone could give me pointers on how to start this problem is would be great!

So far, I know:

Direction vector for the plane is <8,4,8>

Direction vector for the line is <2,a,b>

So is the direction vector for the line <2,1,2>?

Since <8,4,8> would be 4<2,a,b>.

Correct?

Or is this a line parallel to the plane? Sorry if this is a dumb question.