Three Dimensional Geometry
Mathematics Solutions from Chapter -1 - Three Dimensional Geometry
This chapter covers topics, such as Basics of 3D Geometry, Interaction between a Line and a Plane, Interaction between Two Planes, Family of Planes, Equation of a Line in 3D, Equation of Plane, Plane and a Point, Line and a Point, Sphere, etc.
Practice Other Topics from Three Dimensional Geometry
This topic covers concepts, such as Direction Cosines of a Line Joining Two Points, Triangle in 3D, External Division Formula in 3D, Distance Formula in 3D, Coordinates of Special Points in Triangle in 3D, Area of a Triangle in 3D, etc.
This topic covers concepts, such as Line in 3D, Equation of a Line in 3D: Symmetric Form, Equation of Line in 3D, Equation of a Line through Two Given Points: Cartesian Form, Equation of a Line through Two Given Points: Vector Form, etc.
This topic covers concepts, such as Distance of a Point from a Line in 3D, A Line and a Point in 3D, Image of a Point in a Line in 3D, and Foot of Perpendicular from a Point to a Line in 3D.
This topic covers concepts, such as Shortest Distance between Two Skew Lines, Angle Bisectors of Lines in 3D, Coplanar Lines, Two Intersecting Lines in Vector Form, Interaction between Two or More Lines, Angle between Two Lines in 3D, etc.
This topic covers concepts, such as Plane in Vector Form when Distance from Origin and a Normal Vector is Given, Definition of Plane in 3D, Equation of Plane in 3D, Equation of a Plane in Intercept Form, Equation of a Plane in Normal Form, etc
This topic covers concepts, such as Image of a Point in a Plane Mirror in Vector Form, Image of a Point in a Plane, Points and a Plane in 3D, Distance of a Point from a Plane, Position of a Point with Respect to a Plane, etc.
This topic covers concepts, such as Angle between a Plane and a Line, Condition for a Line to Lie in a Plane, Intersection Point of a Line and a Plane, Condition when a Line Completely Lies on a Plane, A Line and a Plane, etc.
This topic covers concepts, such as Finding Acute and Obtuse Angle Bisectors between Two Planes, Planes Having Common Line of Intersection, Finding Equations of Angle Bisectors between Two Planes, Interaction between Two or More Planes, etc.
This topic covers concepts, such as Family of Plane Passing through a Line, Family of Planes Parallel to Coordinate Axes, Family of Planes Parallel to Coordinate Planes, Family of Planes Passing through Line of Intersection of Given Two Planes, etc.
This topic covers concepts, such as Equations of a Sphere, A Sphere, Equations of Plane Tangent to a Sphere, Area Cut by a Sphere on a Plane, Condition for a Sphere to Touch Coordinate Planes, Area Cut by a Sphere on Coordinate Planes, etc.
