MathematicsLinear Algebra: Vectors, Matrices & Transformations

Vectors in R^n: Operations and Geometric Interpretation

1,284 views 47m March 5, 2024

Overview

We introduce vectors in n-dimensional space, covering addition, scalar multiplication, dot product, and their geometric meanings including angles and projections.

Key Concepts

  • Vector addition and scalar multiplication
  • Dot product and its geometric meaning
  • Projection of one vector onto another
  • Unit vectors and normalisation
VectorsLinear AlgebraDot Product

Linear Algebra: Vectors, Matrices & Transformations