diff --git a/docs/mcv4u7.md b/docs/mcv4u7.md index 99f2cd6..7600009 100644 --- a/docs/mcv4u7.md +++ b/docs/mcv4u7.md @@ -605,7 +605,7 @@ $$d=\frac{|D_1-D_2|}{\sqrt{A^2+B^2+C^2}}$$ Two planes are parallel if their direction vectors are scalar multiples of each other: $$\vec n_1 = k\vec n_2$$ -If they are also coincident, the D-values will also be identical: +If they are also coincident, the D-values will also be identical or equal to the same scalar multiple as the normal: $$D_1=D_2$$ Otherwise, the planes intersect, the line along which is equal to the cross product between the two direction vectors. @@ -619,7 +619,7 @@ When looking at three planes: If all three normals are scalar multiples: - - If all three $D$-values are scalar multiples, the planes are parallel and coincident and they have infinite points of intersection along the plane equation. + - If all three $D$-values are those same scalar multiples, the planes are parallel and coincident and they have infinite points of intersection along the plane equation. - Otherwise, there are no solutions and the planes are parallel and distinct and/or parallel and coincident for two. If two normals are scalar multiples: