This program is meant to help you get practice with writing programs to perform more complex numerical calculations, and specifically to give you practice with vector calculations. Write a program that calculates the angle between two points, as seen by an observer. Your program should read in: The 3D position of an observer The 3D position of the first observed point The 3D position of the second observed point Then, it should calculate and output, in degrees, the angle between the points from the viewer’s perspective. The steps for doing this are: Read in the points from the user. Assume the points will be some (x, y, z) coordinates. Calculate the two vectors from the observer to each of the observed points Normalize the vectors Calculate the dot product between the vectors Use that to calculate the angle between the two observed points. Note that the dot product of two normalized vectors gives the cosine of the angle between those vectors. Outputs the answer in degrees Before beginning coding, you should stop and think briefly about the variables you will need for your program. Use values in example below to check your program correctness.

This program is meant to help you get practice with writing programs to perform more complex numerical calculations, and specifically to give you practice with vector calculations.

Write a program that calculates the angle between two points, as seen by an observer.

Your program should read in:

• The 3D position of an observer
• The 3D position of the first observed point
• The 3D position of the second observed point

Then, it should calculate and output, in degrees, the angle between the points from the viewer’s perspective. The steps for doing this are:

• Read in the points from the user. Assume the points will be some (x, y, z) coordinates.
• Calculate the two vectors from the observer to each of the observed points
• Normalize the vectors
• Calculate the dot product between the vectors
• Use that to calculate the angle between the two observed points. Note that the dot product of two normalized vectors gives the cosine of the angle between those vectors.
• Outputs the answer in degrees

Before beginning coding, you should stop and think briefly about the variables you will need for your program.

Use values in example below to check your program correctness.

Help: https://www.analyzemath.com/stepbystep_mathworksheets/vectors/vector3D_angle.html