I have come across this question that I need a tip for.
Find the equation (general form) of the plane passing through the point $P(3,1,6)$ that is orthogonal to the vector $v=(1,7,-2)$.
I would be able to do this if it said "parallel to the vector"
I would set the equation up as $(x,y,x) = (3,1,6) + t(1,7,-2)$ and go from there.
I don't get where I can get an orthogonal vector. Normally when I am finding an orthogonal vector I have two other vectors and do the cross product to find it.
I am thinking somehow I have to get three points on the plane, but I'm not sure how to go about doing that.
thanks in advance.