Get the Gizmo ready: - Drag the initial point of both vectors to the origin. Vector sums - Drag the terminal point of a to (0, 5) and the terminal point of b to (2, 0). Activity B: 1. Vector a represents the velocity (speed) and direction of a boat _ crossing a river. Vector b represents the velocity and direction of a strong west-to-east current the boat encounters. 5 mph A. How do you think the current will affect the boat? E n n 2 m h Sketch c to the right to show where you think the boat will go. B. Turn on Show resultant. Vector c is the _, or sum, of vectors a and b. In this case. 0 shows the resulting velocity and direction of the boat. What are the components of c? 2. Turn off Show resultant. With the initial points at the origin. change a to and b to . Sketch these vectors on the grid to the rig ht. A. What do you expect the components of the resultant to be? <_.> B. Turn on Show resultant. and sketch the resultant in your diagram. What are the components of the resultant? C. In general. how can you use the components of a and b to nd the components of c? Select Show sum computation to check your answer. Vary the components of a and b to check that a vector sum can always be found by adding the corresponding components of the vectors. D. Drag the initial point of b to the terminal point of a. What do you notice? (Activity B continued on next page)