Plane Vectors

Comprehensive plane vectors course covering fundamental concepts, linear operations, and coordinate representation. Master vector addition, subtraction, scalar multiplication, and learn geometric applications with collinearity and perpendicularity conditions.

1. Vector Concepts & Linear Operations

Master fundamental vector concepts, linear operations (addition, subtraction, scalar multiplication), coordinate representation, and conditions for collinearity and perpendicularity.

2. Vector Dot Product

Master the fundamental vector dot product operation: understand vector angles, scalar products, projections, geometric interpretations, calculation methods, and practical applications in mathematics and physics.

📊Practice: Vector Concepts

10 comprehensive questions on vector concepts, operations, and coordinate representation

Test your knowledge of vector definitions, linear operations, collinearity, and perpendicularity conditions.

📐Practice: Vector Dot Product

15 comprehensive questions on dot product calculations and applications

Master dot product calculations, vector angles, projections, and perpendicularity conditions.

📈Vector Operations Calculator

Calculate vector magnitude, operations, collinearity, perpendicularity, and dot products

Interactive calculator for vector addition, subtraction, scalar multiplication, magnitude calculations, and checking vector relationships.

🧮Vector Dot Product Calculator

Calculate dot products, vector angles, projections, and check perpendicularity

Interactive calculator for dot product operations, angle calculations, and vector projections with step-by-step solutions.