- Write lambda functions to replace dir2cart() and cart2dir(). Call them
**dir_cart**and**cart_dir** - You measured a bedding plane with an azimuth of 40 and a plunge of 62. Use your function
**dir_cart()**to convert the coordinates to cartesian coordinates. - Use your function
**cart_dir()**to convert the cartesian coordinates back to polar coordinates - test your functions by calling the
**dir2cart()**and**cart2dir()**funtions in the lecture. - modify
**cart2dir()**to round to the nearest decimal

- What is the sum of the two vectors Az1=245, Pl1=22 and Az2=10, Pl2=60?
- What is the difference between these vectors?
- What is angle between the two vectors?
- What is pole to the two vectors?
- Make an equal angle diagram
- plot the two vectors as green triangles
- plot the pole to the plane as a blue star

- 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.

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