Coordinate geometry or Analytic geometry
 
     Points, Lines and Planes in Three-Dimensional (3D) Space
      Position of two lines in a three-dimensional space
         Coplanar lines and skew lines
      Line and plane in a three-dimensional space
      Two planes in a three-dimensional 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
      Slope-intercept form of a line,  y = mx + c
         Slope or gradient, y-intercept and x-intecept
      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 Three-dimensional 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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