Vector Equation of a Plane

Find a vector perpendicular to both **i+2j-k** and **3i-j+k**. Hence find the Cartesian equation of the plane parallel to both **i+2j-k** and **3i-j+k** which passes through the point (2,0,-3).

I managed to solve the first one but not the parallel part.

Explanation with the aid of diagram is much appreciated. Thanks in advance

Re: Vector Equation of a Plane

Re: Vector Equation of a Plane

Different way of saying the same thing: if <A, B, C> is a vector perpendicular to both vectors u and v, then is a plane parallel to both u and v and passing through .