Perform using Python ! In a 3-dimensional space, point P (coordinates x, y and z) is rotated 67 degrees counterclockwise around the z axis, then projection in the xz plane and finally inversion is...

Perform using Python !

In a 3-dimensional space, point P (coordinates x, y and z) is rotated 67 degrees counterclockwise around the z axis, then projection in the xz plane and finally inversion is applied. Write a program that calculates the new coordinates of point P (x', y' and z') with numpy.