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.

Concepts

linear algebra, matrices, matrix operations, transformations

Show More Show Less

Additional Tags

math

Show More Show Less

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

Common Core

HSN-VM.C.11 MP2