Write comments in your programs. Programs with no comments will receive PARTIAL credits. For each program, the following info should at least be included at the top of the C file: Author and Date created: Brief description of the program: input(s) and output(s): an algorithm (or description/relationship between inputs and outputs) Homework 5 Problem 2 (35 points): Three-dimensional vector calculation Given a vector V = , its magnitude is calculated as |V| = |V + V + V2 Z Given two vectors V1 = and V2 = , the dot product is V1. V2 = V1 dot V2 = Vx1* Vx2 + Vy1* Vy2 + Vz1* Vz2 the angle (in degrees) between the two vectors is V1.V2 180 .-1 0 = cos ;) |V1|*|V2|. Use 3.14159 for TT. Write an interactive C program that * T display options for vector calculation that a user can choose ask a user for an option (M/m for finding the magnitude, D/d for finding the dot product and angle between the two vectors, Q/q to Quit) ask a user for one vector or two vectors (depending on the option) find and display the calculation Your C program must include at least the following user defined functions: //find_magnitude accepts three input arguments and returns the vector magnitude double find_magnitude(double Vx, double Vy, double Vz); // find_dotprod_angledeg accepts two vectors and outputs the dot product and angle in degrees between two vectors void find_dotprod_angledeg(double Vx1, double Vy1, double Vz1, double Vx2, double Vy2, double Vz2, double *dotprod, double *angle_deg); Sample code execution 1: Bold entered by a user 3-D Vector calculation Enter M or m to find the magnitude Enter D or d to find the dot product and angle in degrees Enter Q or q to Quit Enter your choice: A wrong option entered 3-D Vector calculation Enter M or m to find the magnitude Enter D or d to find the dot product and angle in degrees Enter Q or q to Quit Enter your choice: M Enter Vx Vy Vz (separated by spaces): 1 2 3.3 magnitude of is 3.9862 3-D Vector calculation Enter M or m to find the magnitude Enter D or d to find the dot product and angle in degrees Enter Q or q to Quit Enter your choice: D Enter VX1 Vy1 Vz1 (separated by spaces): 1 2 3.3 Enter Vx2 Vy2 Vz2 (separated by spaces): 7.1 14.2 23.43 dot is 112.8190 angle between these 2 vectors is 0.0000 degrees 3-D Vector calculation Enter M or m to find the magnitude Enter D or d to find the dot product and angle in degrees Enter Q or q to Quit Enter your choice: m Enter VX Vy Vz (separated by spaces): 7.1 14.2 23.43 magnitude of is 28.3022