The cross multiplication of three vectors leads to different point multiplication of two three vectors.

Lagrange formula? This is a famous formula, and it is very useful:

Answer? ×? (b？ ×? c)？ =? B (A) C (A) B

Prove:

In fact, there is no such intuitive example in physics when mathematics transcends three dimensions, just as when linear algebra reaches infinite order, you can't construct an infinite dimensional physical form to express it correctly. So I can't tell you what is vertical and what is three-dimensional. I hope I can help you, thank you