Vectors, What Even Are They? | Essence of Linear Algebra, Chapter 1

Take a look at vectors as geometric objects and then as an algebraic concept. The second video in a series of 15 introduces the vector using three perspectives: the physics, computer science, and mathematical. The resource shows the connection between the geometric representation of a vector as an arrow and the algebraic representation as a matrix which can be used to understand vector addition and scalar multiplication.

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CCSS: Adaptable
Instructional Ideas

  • Provide the class with vectors and have them represent their sums using the end-to-end method
  • Have individuals come up with uses of vector addition
Classroom Considerations

  • The class should be comfortable with the coordinate system
Pros

  • The presentation corrects its own mistake concerning the sum of vectors
  • Uses multiple representations to convey the concept
Cons

  • None