In the PhET simulation, choose the "Equations" option and set up the simulation shown below: -No vector selected 18 + 16 - 2 O A Components 4,- 5 6, - 10 4 In this simulation, to change the magnitude and direction of the vector components, you will need to expand the "Base Vector" option and manually change the values of the components to those shown in the picture. Choose the equation a + b = cfor this set of questions. 1. At the top, you can choose which numbers to multiply each vector by in the equation. What happens to the magnitude and direction of a when you change its multiplier from 1 to 2? Select "Values" and "Angle" () to see what the simulation does. Should both the magnitude and direction of a vector change when it is multiplied by a positive number? Briefly explain. 2. What happens to the magnitude and direction of b when you change its multiplier from 1 to -1? Are the magnitude and direction affected in the same way as if the vector were multiplied by a positive number? Briefly explain.In the PhET simulation, choose the "Equations" option and set up the simulation shown below: - No vector selected 12 + 16 - 2 Components Base Vectors by = -5 6 - 5 In this simulation, to change the magnitude and direction of the vector components, you will need to expand the "Base Vector" option and manually change the values of the components to those shown in the picture. Choose the equation a - b = c for this set of questions. 3. Create the vector equation 2a - 36 = c and select "c" to show the result of your vector equation. Show how these vectors add together graphically. Take a screenshot and post it as your answer. When graphically recreating this equation, are you placing the vectors in the same way as when adding vectors graphically? Briefly explain. 4. For this vector equation 2d - 36 = C, select "c" and "Values". The way that we will normally work with vector equations is by using their components instead of the graphical versions. Briefly show, using the components of d and 6 that you can reproduce the numerical results for the components of C. (What you are doing here is converting this single vector equation into a set of component equations, which can be manipulated like scalar equations.) 5. There is at least one other way for you to produce the vector c that you see here using with the same vectors. Can you show how to use a + b = c with different scale numbers in front of either a or b to produce the same result as 2a - 3b = c? Take a screenshot showing the vectors for this new equation being added together graphically as proof