Why do we care about vectors? Vectors are an incredibly important concept both in geometric algebra and in modern mathematics in general. In this video, I show the motivation for the interpretation of vectors as arrows. After that, I describe the basics of this conception of vectors.

This video is a part of "From Zero to Geo", a series where we formulate geometric algebra, an incredibly powerful branch of mathematics, from the ground up. Full playlist here: [ Ссылка ]
Next video here: [ Ссылка ]

Discord: [ Ссылка ]

Patreon: [ Ссылка ]

Where you should skip depending on your knowledge of vectors (I'm just copying the table of contents, click on the first video that you don't know the topic):
Length and Scalar Multiplication: [ Ссылка ]
Adding Vectors: [ Ссылка ]
Algebra of Vectors: [ Ссылка ]
Spaces/Subspaces: [ Ссылка ]
Linear Combinations/Span: [ Ссылка ]
Linear Dependence/Bases: [ Ссылка ]
Components: [ Ссылка ]
Linear Spaces: [ Ссылка ]
Dimension: [ Ссылка ]
Direct Sums: [ Ссылка ]

Patreon Supporters:
Richard Penner (Yep, nobody else has bought the second-highest tier as well!)

Special thanks to wooden cube for doing the captions.

Sections:
00:00 Introduction
00:37 What is the simplest geometric object?
03:25 Other interpretations of vectors
03:45 Skipping this chapter
04:50 Basics of vectors
05:48 Exercise on the basics of vectors
07:29 Vectors in other numbers of dimensions
08:19 Labels for vectors
09:07 Preview of next few videos
10:29 End

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