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The dot product of two matrices is a number on the number line, its transformation. The resource presents the dot product as a linear transformation from two dimensions to one dimension. The video uses the numerical and graphical interpretations of vectors to make its point in the tenth installment of a 15-part series.
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CCSS:
Adaptable
Concepts
Additional Tags
Instructional Ideas
- Lead a discussion on how one might be able to calculate the projection of one vector onto another
- Verify the claim about the sign of the dot product and the relative orientation of the two vectors
Classroom Considerations
- It may be beneficial if the class already knows how to calculate a dot product
- This video is hosted on YouTube
Pros
- Introduces new concepts by building upon previous knowledge
- Includes an example to help clarify the concept
Cons
- None