3D Geometry
, Mathematics Expert
Curriculum
- 8 sections
- 25 Topics
- 06 H 21 Mins
- 01:23
Intro Video
- 20:26
System of Coordination
- 14:53
Definition of a Plane and its Equation - 1
- 14:20
Direction Ratios and Direction Cosines
- 11:59
Projection of a Line
- 11:46
Problems and Solutions
- 30:46
Various Forms of Equation of a Line
- 16:40
Shortest Distance between Two Lines
- 23:36
Intersection of Lines and Foot of Perpendicular
- 23:53
Problems and Solutions
- 23:25
Definition of a Plane and its Equation - 2
- 11:54
Foot of a Perpendicular from a Point to Plane
- 12:30
Angle between Two Planes
- 15:37
Coplanar Lines
- 06:27
Distance between Two Parallel Planes
- 16:01
Problems and Solutions
- 14:53
Definition of a Plane and its Equation - 1
- 14:53
Definition of a Plane and its Equation - 1

Course Highlights
Certificate of completion
Integrated projects and quizzes
Additional study materials
Learn anytime, anywhere
Completely self-paced
About this course
Intermediate
619 views
Three-dimensional geometry is the mathematics of 3D shapes and space. In this course, you will learn to find the equations of a line and plane in Cartesian and vector forms. Further, you will also find out the angle between two lines, the intersection of two planes, and how a sphere is cut by a plane. We'll also discuss the conditions for...
Skills you will learn
- 2D
- 3D
- Angle between two lines
- angle between two planes
- Angle between two spheres
- Bisector plane
- Cartesian
- Collinearity
- Concurrent
- Coplanarity
- Intersection of two planes
- lines
- Maths
- Planes
- Rectangular
- Sphere
- Spherical
Who should take this course?
- High school and higher secondary (Class 11, 12) students
- Students preparing for JEE.
- Any other entrance exam aspirants looking to gain a deeper understanding of the concepts across the globe
What will you learn in this course?
- 2-D & 3D
- Planes, spherical, cartesian, rectangular, lines
- The angle between two lines
- The angle between two planes
- Bisector plane
- Collinearity, coplanarity, concurrent
- The angle between two spheres
- The intersection of two planes
Earn sharable certificate
You'll earn a sharable certificate upon completion of this course.
- Showcase it on your professional profiles
- Share it on social media as a proof of your skills
- Download as PDF and print it
About the tutor

Abdul Ahad
Meet Abdul Ahad, Tutorac academy's math expert and experienced entrance exam mentor with a proven record of assisting students achieve better results. He holds a degree in mechanical engineering and has been helping students master mathematical concepts for the past 10 years. The zeal with which... View more
Curriculum
- 8 sections
- 25 Topics
- 06 H 21 Mins
- 01:23
Intro Video
- 20:26
System of Coordination
- 14:53
Definition of a Plane and its Equation - 1
- 14:20
Direction Ratios and Direction Cosines
- 11:59
Projection of a Line
- 11:46
Problems and Solutions
- 30:46
Various Forms of Equation of a Line
- 16:40
Shortest Distance between Two Lines
- 23:36
Intersection of Lines and Foot of Perpendicular
- 23:53
Problems and Solutions
- 23:25
Definition of a Plane and its Equation - 2
- 11:54
Foot of a Perpendicular from a Point to Plane
- 12:30
Angle between Two Planes
- 15:37
Coplanar Lines
- 06:27
Distance between Two Parallel Planes
- 16:01
Problems and Solutions
- 14:53
Definition of a Plane and its Equation - 1
- 14:53
Definition of a Plane and its Equation - 1

Course Highlights
Certificate of completion
Integrated projects and quizzes
Additional study materials
Learn anytime, anywhere
Completely self-paced


