The conversation between human and AI assistant.
How do I visualise dot & cross product in vectors?
Hmm, I think I get the mathematical definition. But can you give me an example of how to visualize it?
Of course! Let's say you have two vectors, A and B. If the dot product of A and B is positive, that means they point in the same general direction. If it's negative, they point in opposite directions. And if it's zero, they're perpendicular. As for the cross product, you can imagine the resulting vector as a twist or rotation between the two original vectors. Does that help?