Graphical Dot Product in 2-D
Instructions
This simulation calculates the dot product for any two (2-D) vectors. Drag the head of each vector to change it. The numerical value of the dot product and a geometrical interpretation are drawn. The drop down list changes the order that the vectors are "dotted" with one another. Each space on the grid is one unit.
- When is the dot product zero?
- When is the dot product negative?
- Given A and B, how could you use the dot product to calculate the angle between them?
- There's another formula for calculating dot products (AxBx + AyBy). Why does it work?