← JEE Class JEE
Vector and 3D Geometry
Chapter Overview
Vector algebra, scalar and vector products, scalar triple product. Vector equations of lines and planes. Shortest distance between skew lines. Angles between lines, planes, and line-plane. Applications to geometry problems. 3D coordinate geometry: direction cosines, projection, area, volume.
Topics Covered
- Vector Basics
- Dot Product
- Cross Product
- Scalar Triple Product
- Vector Triple Product
- Line Equations
- Plane Equations
- Shortest Distance
- Angle Calculations
- 3D Coordinate Geometry
Key Formulas
A.B = |A||B|cos A
A x B = |A||B|sin A n^
[A B C] = A.(BxC)
SD = |(a2-a1).(b1xb2)|/|b1xb2|
Real-World Applications
Applications: JEE problem solving, physics, engineering mechanics, 3D graphics.
Study Tips
Tip: Understand dot and cross geometrically
Tip: Practice 3D visualization
Tip: Learn the distance formulas