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.

Concepts

linear algebra, vectors, addition vectors, scalar numbers, coordinate plane

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Additional Tags

math

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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

• This video is hosted on YouTube

Pros

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

Cons

• None

Common Core

HSN-Q.A.1 HSN-VM.A.1 HSN-VM.B.4.a HSN-VM.B.5.a MP2 MP4