Vectors in R², R³ and Rⁿ: Add and Scale Entry by Entry | Linear Algebra 2.3

Vectors in R², R³ and Rⁿ are added, subtracted and scaled entry by entry, whatever the size. We compute with vectors in R³ and R⁵ and see why vectors with different numbers of entries cannot be added. What you'll learn: • Describe R², R³ and Rⁿ by counting entries • Add, subtract and scale vectors entry by entry • Know when two vectors can be added Chapters: 0:00 R² and the plane 0:46 R³ and three-dimensional space 1:09 Sum, difference and scaling in R³ 1:46 Rⁿ and an example in R⁵ 2:27 Same number of entries needed 2:49 Recap Watch first: 2.1 Vectors and Scalars Up next: 2.4 The Dot Product Lecture 2 playlist:    • Linear Algebra 2 · Vectors, Linear Combina...   Full series:    • Linear Algebra · Full Series (101 short le...   Linear Algebra 2.3: part 3 of lecture 2 in a series of short, animated lessons with one worked example each. Captions are available. Narration uses a synthetic text-to-speech voice. Animations made with Manim. #LinearAlgebra #Vectors #Rn