 # The Dot Product

##### This The Dot Product presentation also includes:

Vectors pop up in a ton of science and linear algebra applications, so becoming familiar with their basic manipulations and arithmetic is a must for pupils with an eye on higher math and science. Enter this skill-based lesson on finding the dot product of vector pairs. Clear and concise in explanation, with many built in examples, this resource is a great introduction to the concept of dot products. Particularly effective if the class has not yet studied matrix multiplication, this lesson does not rely on a familiarity with matrix properties as many covering this topic do.

##### Instructional Ideas

• Have each learner draw and label a vector, and then partner with classmates to find the dot product of their respective vectors
• Consider leading an investigation into what kind of vectors are orthogonal, and what characteristics (slope, direction, magnitude) influence this property
• Give the class a scalar number, with the assignment to create a vector pair with the given dot product result
##### Classroom Considerations

• Class notes to match the main resource presentation are available under additional resources
• Presentation would make for a fabuolous interactive whiteboard lesson, with each step or problem revealed as solved by the class
##### Pros

• Each section is introduced with a summary of key concepts and strategies
• Example problems build in complexity as the lesson progresses
• Orthogonal vectors covered thoroughly and in a variety of appearances
##### Cons

• No explanation or graphics for what it physically means for two vectors to be orthogonal