Align camera position and rotation

So I have a list of faces and vertices, which I render with as a patch. The result is a 3d object consisting of triangles. Now I want to be able to specify a triangle (consisting of 3 points) and let the camera focus to this face of the whole object. This means that the camera don't show the whole object, but sets the camera position somewhere near the midpoint of the wanted faces. Additionally the camera should be aligned with the normal of the face i.e. the rendered image is parallel to the face.

So far I computed the midpoint and the normal

mp = mean([p1, p2 ,p3],2)'
normal = cross(p1 - p2, p1 - p3)'

But set the camera to the right position

view(normal);
campos(mp);
set(gca,'CameraPosition',mp);

This functions seems to have the same effect. The camera is rotated somehow, but still the whole object is visible and also it seems like the camera is not always aligned with the normal. Do you have any idea how to solve this?