Table of Contents
Non-Collinear Points – Equation of Plane
There are three non-collinear points, \(A, B,\) and \(C\) in the plane. The equation of the plane passing through these points is:
\[ ax + by + cz = d, \]
where \(a, b,\) and \(c\) are the coordinates of points \(A, B,\) and \(C,\) respectively, and \(d\) is the distance between points \(A\) and \(B,\) points \(B\) and \(C,\) or points \(C\) and \(A\).
Perpendicular Planes to Vectors and Points
Perpendicular planes to vectors and points are planes that intersect a vector or point at a right angle. This means that the plane is perpendicular to the vector or point, and the angle between the plane and the vector or point is 90 degrees.
Equation of Plane Passing through 3 Non-Collinear Points
The equation of a plane passing through three non-collinear points is \begin{align*}Ax + By + Cz = D\end{align*}, where A, B, C, and D are real numbers.
