1. Create a function named points2vector which outputs a 3D Cartesian vector given two 3D Cartesian coordinates. The function should:

input: 2 variables of size (1,3) defining the points

output: 1 variable of size (1,3) defining the Cartesian vector

2. Create a function named vectorMagnitude which inputs a 3D Cartesian vector and determines its magnitude:

input: 1 variable of size (1,3) defining the Cartesian vector

output: 1 variable of size (1,1) defining the vector magnitude

3. Create a function named vector2unit which inputs a 3D Cartesian vector and converts it into a unit vector. The function should:

input: 1 variable of size (1,3) defining the Cartesian vector

output: 1 variable of size (1,3) defining the Cartesian unit vector

must use the function vectorMagnitude

4. Create a function named points2unit which converts two 3D points into a 3D Cartesian unit vector. The function should:

input: 2 variables of size (1,3) defining the coordinate points

output: 1 variable of size (1,3) defining the Cartesian unit vector

must use the functions point2vector and vector2unit

5. Create a program which tests the function points2unit, using a for loop. Complete the following chart:

The program must

Case	p_head	p_tail	unit_vector
1	(5,1,3)	(9,0,0)
2	(2,5,7)	(4,-2,3)
3	(8,6, 3)	(5,5,3)
4	(9,-1,-1)	(6,-8,3)
5	(3,6,2)	(8,1,7)
5	(1,1,3)	(5,4,3)

use the points2unit function You cannot use the norm() or sum() functions. In addition, none of the functions should use the input() function.