Intersection of a plane and a normal.
Problem: A normal to passes through A(5,1,6). Find the point of intersection of the normal and the plane.
I haven't solved a question like this before in my book, so I am not too sure on how to go about this question. I know that the normal vector to is . So, to find the point of intersection, do I take the cross product of the normal and the given point? Or, would I have to find another point on the plane (I'll let and to get
, this point will be and then find and take the cross product of and ?
I just never encountered a question like this before, so I would appreciate some help on getting started. Thanks in advance.