I'm supposed to be making a study guide answer for this question, but I'm struggling with proof.
Show that the three planes
intersect at the point
Note that the denominator of the intersection point contains a dot product, it's just poorly formatted, my apologies.
r vector is a point in 3D space, on the plane being described, the
u hat vector is the normalize normal vector, and
d seems to be the z offset of the plane. I was able to determine this by poking around online, and have learned that this is called
I could easily calculate intersection points given this info, but proofs are something I have always struggled with. I think an informal proof is completely sufficient. All I've been able to figure is that the denominator being zero happens in circumstances where planes are parallel to each other, which means there is no intersection, or intersections as lines rather than points.