Welcome to the world of vector mathematics! Vectors are fundamental in fields like physics, computer graphics, and machine learning. Let's explore key operations and concepts together.

📌 Basic Vector Operations

  • Addition: Combine vectors by adding their corresponding components
    vector_addition
  • Subtraction: Subtract components of one vector from another
    vector_subtraction
  • Scalar Multiplication: Multiply a vector by a scalar (number) to scale its magnitude
    scalar_multiplication

🧮 Advanced Concepts

  • Dot Product: Measures the similarity between vectors
    dot_product
  • Cross Product: Produces a vector perpendicular to the original two
    cross_product
  • Normalization: Converts a vector to unit length without changing direction
    vector_normalization

🧠 Practical Applications

Vectors are used in:

  1. Physics for force and velocity calculations
  2. Game development for 3D movement
  3. Machine learning for feature vectors

Want to dive deeper? Check out our Matrix Operations Tutorial for related topics!