Vectors, what even are they? Essence of Linear Algebra - Part 1 of 15

The video introduces vectors as fundamental elements in linear algebra, exploring three perspectives: physics, computer science, and mathematics. It explains vectors as arrows in space, ordered lists of numbers, and abstract entities. The video covers vector operations like addition and scalar multiplication, emphasizing their importance in linear algebra. It discusses vectors in coordinate systems, both 2D and 3D, and highlights the ability to translate between geometric and numerical representations. The video concludes with applications of vectors in data analysis and computer graphics.

Explain the process of vector addition using the tip-to-tail method.

What does multiplying a vector by a scalar do to the vector?

Why is it important to translate between the geometric and numerical representations of vectors?