Vector Addition

HW 2 Key Each question is worth 10 points, and there are six questions. Good luck! 1) Use the following figure to determine the relative motion of Plate B with respect to Plate C. Hint: write out what you know, and what you want to know. a) [4,-4] cm/yr b) [4,6] cm/yr c) [4,4] cm/yr d) [-4,4] cm/yr e) [2,0] cm/yr 2) Use the following figure and determine the relative motion of Plate B with respect to Plate D. a) [-1.07,-7.07] cm/yr b) [3,5] cm/yr c) [5/3,3/5] cm/yr d) [8.5,0] cm/yr e)[-1.2,-1.1] cm/yr

3) At a RRR triple junction, the top ridge has a half-spreading rate of 2 cm/yr. Using this, and the provided geometry of the ridges, to calculate BvA. Hint: write out separate equations for the x coordinates and the y coordinates. a) BvA = [2.31,2.00] cm/yr b) BvA = [2.00,2.31] cm/yr c) BvA = [4.00,2.31] cm/yr d) BvA = [-2.00,2.31] cm/yr e) BvA = [2.00,1.15] cm/yr 4) This time there are three different types of plate boundaries intersecting. Note the plate names are different from the figure in the previous question. What is the velocity of plate C with respect to A? a) AvC = [2.31,1.20] cm/yr b) AvC = [3.00,5.19] cm/yr c) AvC = [1.20,3.00] cm/yr d) AvC = [-1.20,2.31] cm/yr e) AvC = [5.19,3.00] cm/yr 5) For this RTT case of a spreading center with two subduction zones, if BvA is [4,0] cm/yr, and BvC is [0, 10] cm/yr, what is AvC? a) AvC = [10.0,1.00] cm/yr b) AvC = [4.00,2.00] cm/yr c) AvC = [-4.00,10.0] cm/yr d) AvC = [2.00,5.00] cm/yr e) AvC = [-5.19,3.00] cm/yr

6) If BvA is [4,0] cm/yr, and AvC is [-2, 3.46] cm/yr, what type of boundary is between B and C? To do this, calculate the azimuth of BvC and compare it to the azimuth of the B-C plate boundary. a) convergent b) transform c) divergent