- #1

zeion

- 466

- 1

## Homework Statement

Hello. I am relatively new to this subject please forgive my incompetence.

Please correct me if I have misunderstandings.

I understand that the cross product of two vectors (say A and B) in R3 is a vector that is orthogonal to both A and B. But how A x B be orthogonal to the plane spanned by A and B?

I don't understand what this plane spanned by A and B should look like geometrically.

Wouldn't A x B be parallel to the plane spanned by A and B?