
Coordinate
geometry or Analytic geometry 




Points,
Lines and Planes in ThreeDimensional (3D) Space 
Position
of two lines in a threedimensional space

Coplanar lines and skew lines

Line and plane in a threedimensional space

Two planes in a
threedimensional space 
The line of intersection of two planes

Orthogonality
(perpendicularity) of line and plane

Orthogonality of two planes

Orthogonal projection of a point onto a plane

The distance from a point to a plane

Angle between a line
and a plane, and angle between two planes 
Plane Analytic Geometry 
Coordinate
plane, points, line segments and lines

The distance formula

The midpoint formula

Dividing
a line segment in a given ratio 
Area
of a triangle 
The
coordinates of the centroid of a triangle 
Line in a coordinate plane

Slopeintercept form of a
line,
y = mx + c 
Slope or gradient, yintercept and
xintecept

The
intercept form of the equation of the line

Lines parallel to the coordinate axes, horizontal and
vertical lines 
The
point slope form of the equation of a line

The
two point form of the equation of a line 
The parametric equations of a line 
Parallel and perpendicular lines 
Hessian normal form of the equation of a line 
Distance between a point and a line 
Lines
and points relations, examples


Points,
Lines and Planes in Threedimensional Coordinate System
Represented by Vectors 


Equations
of a line in space 
The
vector equation of a line

The parametric equations of a line

Equation of a line defined by
direction vector and a point  Symmetric equation of a line 
Line given by two points

Distance between two given points

Orthogonal
projection of a line in space onto the xy coordinate plane 
A
line in a 3D space examples 
Angle between lines

Condition for intersection of two
lines in a 3D space

Equations of
a plane in a coordinate space

The
equation of a plane in a 3D coordinate system 
The Hessian normal form of the
equation of a plane

The
intercept form of the equation of a plane 
A
plane in a 3D coordinate system, examples 
Equation
of the plane through three points, example 
The distance between a point and a
plane  plane given in Hessian normal form

Comparison of
the general form and the
Hessian normal form of equations of a plane

The distance of a point to a plane 
plane given in general form

Angle (dihedral angle) between two
planes

Line
and Plane

The line of intersection of two planes

Projection of a line onto coordinate planes

How determine two planes of which, a given line is their
intersection line

Intersection point of a line and a plane

Sheaf or
pencil of planes

Points, Lines and planes relations in 3D space, examples

The angle between line and plane

Point,
Line and Plane
 orthogonal
projections, distances, perpendicularity of line and plane

Through a given point pass a line perpendicular to a given plane

Given a line and a point, through
the point lay a plane perpendicular to the line

Projection of a point onto a plane

Projection of a point onto a line

Through a given point lay a line perpendicular to a given line,
example

Projection of a line onto a plane,
example

Plane laid through a given point, such that be parallel with two
skew lines, example 
Plane laid through a given point, such that be parallel with two
parallel lines, example 
Distance
between point and line, example 
Distance between point and plane,
example 
Distance between parallel lines,
example 
Distance
between two skew lines, example 








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