11. 12. 13. 14. . Given two points, A(5, 3) and B(-7, 2), describe how to nd the coordinates and the magnitude of the Cartesian vector HE. What are the coordinates of the zero vector, 6? . How does a position vector differ from a Cartesian vector? Which is easier: adding vectors in Cartesian form or adding vectors in geometric form? Explain. What is the difference between [2, 3] and (2, 3)? In the dot product denition, 05 9 5 180 a What happens if B > 180 ? Explain. _l Explain why the dot product of any vector and the zero vector, 0, is equal to zero. Does the equation 13- 1? = 1717 make sense? Explain. What does the dot product measure? . There are two ways to calculate the magnitude of a projection. Describe when you would use each method. What happens to the projection of \"I? on E if 13 is much longer than 1'3? What happens if the angle between ii and 1'5 is close to, but less than, 180 ? What if it is equal to 1800? Is it possible for the angle between two vectors to be more than 180 ? How does the formula support this conclusion? At the gym, Paul lifts an 80-kg barbell a distance of 1m above the oor and then lowers the barbell to the oor. How much mechanical work has he done