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Intro to 3D Geometry - Coggle Diagram
Intro to 3D Geometry
Lines
Slope
DR
infinite
Finding DC from DR
DR of line joining 2 points
Not the same a spoints in CG, Substracting one point from other gives DR
Acute angle between 2 lines having DRs
DC
Properties
l^2 + m^2 + n^2 = 1
unique
Finding DR from DC
l = λa; m = λb' n = λc
Acute angle between 2 lines having DCs
DC of line along the bisector of 2 lines
Internal
External
Forms of equations
point and DR
Cartesian
Vector
2 points
Cartesian
Vector
Line parallel to one of the 3 axes
Geometry
point and line
Foot of a point on a line
Cartesian
Vector
line and line
Angle between two lines
Condn for intersection for lines
Distance bwetween
Skew lines
Cartesian
Vector
Prallel lines
Shapes
Sphere
Parallelpipe
Tetrahedron
Plane
Forms of eqn
Axis-perpendicular plane
plane
eqn of plane parallel to a given plane
lines
passing through point and line
passing through 2 lines
passing through a point and parallel to 2 vectors
point
passing through 3 points
normal
point and normal
normal and distance from origin
Intercept
Geometry
Plane-plane
Angle between them
perpendicular?
parallel?
Line of intersec
Distance between parallel planes
Equation of a plane bisecting the angle between 2 planes
2 sides of plane
Line-plane
Angle betweeen line and plane
point plane
Distance of point from plane
Intro
Octants
Points
Positional analysis of points
Distance formula
from axes
rom planes
Distance from origin
b/w 2 points
Section formula