Three-Dimensional Coordinate System
Poin coordinates:
x0, y0, z0, x1, y1, z1, …
Real number: λ
Distance between two points: d
Area: S
Volume: V
- Distance Between Two Points
Figure
- Dividing a Line Segment in the Ratio λ
where
Figure
Figure
- Midpoint of a Line segment
- Area of a Triangle
The area of a triangle with vertices P1(x1, y1, z1), P2(x2, y2, z2), and
- Volume of a Tetrahedron
The area of a triangle with vertices P1(x1, y1, z1), P2(x2, y2, z2),
P3(x3, y3, z3) and P4(x4, y4, z4) is given by
Note: We choose the sign (+) or (–) so that to get a positive answer
for
volume.
Figure
Labels:
Mathematician
Thanks for reading Analytic Geometry - Three-Dimensional Coordinate System . Please share...!
