1. (45 points) Write a program in a script file that converts a quantity of force given in units of either lbf (pound-force), kgf (kg-force) or dyne to the equivalent quantity in N (Newton) using a switch-case structure. The program should ask the user to enter the quantity of force and its current units. The output should be the quantity of force in N. Your program should also include an if-else structure to return an error message in case the user enters the input units incorrectly. Otherwise, it should return the result of unit conversion. First, draw a flowchart of your program! 2. (20 points) Use a for loop to sum the elements in the following vector: x=[167453489994587] Check your answer with the sum function. 3. (35 points) A vector is given by V=[5,17,3,8,0,7,12,15,20,6,6,4,7,16]. Write a program as a script file that doubles the elements that are larger than 3 and smaller than 15 , and, raises to the power of 3 the elements that are negative but greater than 5. Also draw the flowchart of your program