JEE Main Math — Three Dimensional Geometry

Three dimensional coordinate geometry for JEE Main aspirants.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Compute direction cosines, direction ratios, and the angle between two 3D lines [Apply]
  2. Write the vector and Cartesian forms of a line in 3D and convert between them [Apply]
  3. Determine equations of planes from points, normals, and intersection conditions [Apply]
  4. Calculate shortest distances between skew lines and from a point to a plane [Apply]
  5. Analyze coplanarity of two lines using scalar triple product conditions [Analyze]
  6. Solve JEE Main MCQs on 3D geometry by selecting between vector and Cartesian forms efficiently [Apply]

📚 Chapters

  1. Coordinates in 3D and Distance Formula
  2. Direction Cosines and Direction Ratios
  3. Equation of a Line in 3D
  4. Angle Between Two Lines
  5. Shortest Distance Between Two Lines
  6. Equation of a Plane
  7. Angle Between Line and Plane
  8. Distance of a Point from a Plane
  9. Coplanarity and Skew Lines

TutorDA LMS