As shown in the diagram below, a soccer player kicks a ball directly toward the goal along a displacement vector r, which has a length of 8.3 m and a direction 30 degrees east of south. Alternatively, she could have kicked it to a second player standing directly in front of the goal along a displacement r, who could have then kicked it to the goal along a displacement vector r, as shown. Find the magnitudes and directions of r, and r

Object 1 is located at position (2,3)m. Object 2 is located at position (8,11)m. a) What is the displacement vector (Ar12) that points from the position of Object 1 to the position of Object 2? b) What is the magnitude of the displacement vector ( |712|)? (A: 10 m)

For the following vectors A= 50 units at 60 degrees from x-axis and vector B= 200 units at 40 west of south. a) Make a sketch of the two position vectors. b) Find the magnitude and the direction of the resultant vector A+B

In the simulation, the length and orientation of the blue and yellow vectors can be changed by dragging the tips of the vectors. Given the limits available in the simulation, find the follwing: a) the largest possible length of the resultant (red) vector b) the smallest possible length of the resultant (red) vector Now set the length of the blue vector to 4.00 and the length of the yellow vector to 5.00. c) What is the largest possible length of the resultant (red) vector now? d) What is the smallest possible length of the resultant (red) vector now?