Category archives: Multivariable Calculus

The Euclidean Space Rn

The Euclidean Space In this class, we explore the Euclidean space , its algebraic structure, and metric properties. You will learn about vector operations, the dot product, the norm, and the Euclidean distance, essential concepts in geometry and analysis. With clear explanations and intuitive examples, this material will help you...

Algebra and Projections in Rn, Cross Product in R3

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Algebra and Projections in Rn, Cross Product in R3

Algebra and Projections in Rn, Cross Product in Abstract:This series is the direct continuation of the series on the Euclidean Space of n dimensions. Here we will review some linear algebra concepts that help to better understand the n-dimensional Euclidean space, examine the concepts of projections of one vector onto...