Writing a C program.

2 Vector Calculations We wish to write a set of C functions to work with 3-D vectors. Write C functions as follows: . VectorMagnitude -Input: An array that represents a 3-D vector p (K,V,,VJ -Output: The magnitude of the input vector V- /V 4 V 4 V 2 . DotProduct Input: Two arrays of three elements each. that represent vectors Vi and -Output!: The dot product of these two vectors Vi . -Vo * V,2 + Vy1 *Wa + V, * V,2 -Output2: The angle between the two vectors (in degrees) -cos-1 (150). Note that this calculation must call the function Vec torMagnitude twice. . CrossProduct - Input: Two arrays of three elements cach, that represent vectors V and V2 Output: A 3-element array that represents the cross product of the two input vectors. The cross product is described below - Output2: The angle between the two input vectors (in degrees). The method for calculating the angle between the two input vectors, using the cross product is described below The cross product of two vectors is defined as the formal determinant of the following matrix The cross product can be used to find the angle between two vectors 180 = sin where h -Note that this calculation requires three calls to VectorMagnitude. Also note that the value inside the parenthesis of the sin fnction might need limiting between +1 HINT: Your functions will have to pass arrays back and forth. A pointer argument may also be necessary for the angle between the two vectors. Write a C program that prompts the user to choose between the following options . M for vector magnitude. This option prompts the user to enter in a single 3-D vector D for dot product. This option prompts the user to enter in two 3-D vectors. . C for cross product. This option prompts the user to enter in two 3-D vectors. Print the output of the appropriate calculations to the screen