How to determine the direction of the outer product of a vector!

How to determine the direction of the outer product of a vector!


Right hand rule
Let z = x × y, the module length of Z = x * y * sin (x, y), then x, y, Z form the right hand system, extend the palm of the right hand, and turn the four fingers from the positive direction of X axis to the positive direction of Y axis, then the thumb direction is the positive direction of Z axis



How to judge the direction of vector outer product with right hand frame


The four fingers of the right hand follow the direction of the first vector, and then take the place where the finger and palm are connected as the axis, bend the four fingers so that they coincide with another vector. The bending angle is less than 180 degrees. The direction of the thumb is the outer product direction



Why is the direction of vector cross product determined by the right hand rule


This is because the actual results of a large number of experiments out of a convenient way to judge. Is the wisdom of scientists to help us come up with a method