Just learning about vectors in 3 dimensions. Would it be correct to think of the cross product vector like a resultant vector? Is it similar to the displacement? If so, why is it always 90 degrees from both original vectors? If anyone has some deeper insight into any of these vector topics I would appreciate it. Also, I'm wondering what the dot product is actually measuring. And what the relationship is beteen the cosine of dot product and the sine of cross product.... THANK YOU!