The Dot Product and Projections
- Justin Mears
The Cross Product
What can you say about the value of the dot product when the two vectors are pointed in relatively the same direction?
What can you say about the value of the dot product when the two vectors are pointed in relatively opposite directions?
What happens when the two vectors are pointing perpendicularly to each other? Do we have a special name for this relationship?
Projections in Two-Dimensional Space
What do you notice about the relationship between the orthogonal projection of v and the vector u?
Prove that the vector is orthogonal to a.