How to determine the direction of the vector from the product of two vectors?

"Right hand rule"
For example, the vector product of a vector and B vector is equal to the scalar product of a vector and B vector, and the direction can be determined in this way
In the right hand, the four fingers except the thumb finger are merged, the thumb finger is perpendicular to the other four fingers, and the four fingers are held from the direction of a vector to the direction of B vector. In this case, the direction of the thumb finger is the direction of the vector product of a and B vectors. That is to say, the direction of the vector product of AB is perpendicular to the plane determined by ab vector
(note that first point to the direction of the forward vector. In this case, the four fingers point to the direction of a first)

How to determine the direction of vector outer product

A×B＝C
According to the rule of the right hand, when the four fingers of the right hand turn from the direction of a to the direction of B, the direction of the thumb is defined as the direction of C. that is, the direction of C is perpendicular to the plane of a and B

How to define the direction of the outer product of a vector?

A × B is a vector perpendicular to both vectors a and B, and its direction is specified by the right hand rule
Extend the right hand, make the thumb perpendicular to the four fingers, point to a with the four fingers, rotate no more than 180 degrees, and point to the same direction as B, then the thumb refers to the direction of a × B

How to determine the direction of the vector from the product of two vectors?