My question is, given a mapping defined by ,
the problem is to find the linear equations of the tangent plane in to the graph of F at the point
I am confused because the image of F has two components, so how could it have a four-dimensional tangent plane? Wouldn't there be infinetly tangent planes in ? We can't even evaluate F at the given point...
Sorry I am so hopelessly confused - any clarity or guidance much appriciated.