1. Establish an appropriate rectangular coordinate system.
2. Let the plane normal vector n=(x, y, z).
3. Find two vectors that are not * * * straight lines in the plane, and record them as a=(a 1, a2, a3) b=(b 1, b2, b3).
4. According to the definition of normal vector, the equation 1NA = 02NB = 0 is established.
5. Solve the equation and take one of the solutions. ?
For example, three points are known to find the normal vector of the plane:
Let a (x 1, y 1, z 1), b (x2, y2, z2) and c (x3, y3, z3) be three points on the known plane.
A, B and C can form three vectors, vector AB, vector AC and vector BC.
Then ab (x2-x 1, y2-y 1, z2-z 1), AC (x3-x 1, y3-y 1, z3-z 1).
Let the normal vector coordinate of the plane be (x, y, z).
There are (x2-x1) * x+(y2-y1) * y+(z2-z1) * z = 0 and (x3-x1) * x+(y3-y/kloc.
You can solve x, y, z y, z.
The normal of the three-dimensional plane of the extended data is a three-dimensional vector perpendicular to the plane. The normal of a surface at point p is a vector perpendicular to the tangent plane of the point.
The normal is a theoretical straight line perpendicular to the polygon surface, and there are infinite normal vectors on the plane. In the field of computer graphics, the normal determines the plane shadow between the surface and the light source. For each point light source position, its brightness depends on the normal direction of the surface.
If the nonzero vector n is perpendicular to the plane A, the vector n is called the normal vector of the plane A. ..
The vector represented by a straight line perpendicular to a plane is the normal vector of the plane. Every plane has countless normal vectors.