• python 3
• Modify the function dir2cart() from the lecture to include vector length R. Call it vec2cart().
• Apply your new function to evaluate the cartesian coordinates of the vector with Azimuth=12, Plunge=42, R=8
• Modify the function cart2dir() to return the full vector (Azimuth, Plunge and R) from the cartesian coordinates. Call this one cart2vec().
• Verify that your function works, by feeding the output of dir2cart() back into cart2dir() to make sure you get back what you started with.