Three Dimensional Geometry

This topic covers concepts such as Directions Cosines of a Line, Direction Cosines of a Line Joining Two Points, Direction Ratios of a Line, Direction Ratios of a Line Joining Two Points, Direction Cosines of Axes, etc.

This topic covers concepts such as Equation of a Line through a Point and Parallel to a Vector, Equation of a Line through Two Given Points: Vector Form, Equation of a Line through Two Given Points: Cartesian Form, etc.

This topic covers concepts such as Angle between Two Lines in 3D, Parallel Lines in 3D, Perpendicular Lines in 3D, and Angle between Lines in Vector Form.

This topic covers concepts such as Shortest Distance between Two Skew Lines in Vector Form, Shortest Distance between Two Skew Lines, and Distance between Two Parallel Lines in 3D.

This topic covers concepts such as Equation of a Plane in Three Point Form, Plane in Vector Form when Distance from Origin and a Normal Vector is Given, Equation of a Plane in Normal Form, Equation of a Plane in Point-Normal Form, etc.

This topic covers concepts such as Coplanar Lines and Skew Lines.

This topic covers concepts such as Angle between Two Planes, Parallel Planes, Perpendicular Planes and Angle between Two Planes in Vector Form.

This topic covers the concept of Distance of a Point from a Plane.

This topic covers concepts such as Angle between a Plane and a Line, Condition when a Line Completely Lies on a Plane, Angle between Line and a Plane in Vector Form, and Condition for a Line to Lie in a Plane.