The conversation between human and AI assistant.
How can I prove that (A × B) − (C × D) = (A − C) × B ∪ A × (B − D)?
I want to know how to prove that (A × B) − (C × D) = (A − C) × B ∪ A × (B − D).
Sure, I can help you with that. Are you familiar with the distributive property of vectors?