Activity 1: The Components of a Vector Rx = Ax+ Bx Open the Vector Addition simulation (https://phet.colorado.edu/en/simulation/vector-addition) and select the Explore 2D screen. The a few minutes to explore the simulation. You can adjust the direction and length of the vectors by click-dragging their arrow heads. 120 120.0 10.4 VIEW angles 40.0 VIEW vector components DRAG origin to shift quadrant Vector Addition 30 7 KE PHET SELECT component style: right triangle, parallelogram, or projection-like SNAP to integer coordinates (left) or (right) 1. Check off all the boxes at the top and top right except for Values and Grid, select "no components" and Cartesian coordinates mode: O Sum Components Values # A 2. Drag out a vector and move it until the tail is located at the origin. Click on the head of the vector and drag it until it has a magnitude of 25. Select View Angles and record the value of the angle in Table 1 below. Calculate the corresponding x and y components of the vector and record them in the table. Table 1 magnitude of vector a = || = 25 angle made by the vector with the horizontal = a.cose x-component of the vector ay = a.sine y-component of the vector 3. Without changing the magnitude, change the angle made by the vector with the horizontal and record the corresponding value in Table 1. Repeat the procedure, until you completely fill out the table. 4. Based on your calculations, how does ax, the x-component of vector a change as increases? 5. Based on your calculations, how does ay, the y-component of vector a change as 0 increases? 6. What value of 0 corresponds to a vector that is horizontal? 7. What value of 0 corresponds to a vector that is vertical?