go to previous page   go to home page   go to next page


Yes — maybe the dot product is large when the angle is close to zero and small when the angle is close to perpendicular.

Example Dot Products

three vectors, separated by 30 degrees

The answer is correct, but a little vague. Let us tighten it up. For now, think about 2D vectors. Consider vector a in the diagram and its dot product with two other vectors, b oriented at 30°, and c oriented at 60°.


Which do you think is larger: