Ok, so I am having a difficult time with vectors (despite the fact that it appears to be an easy concept). My main issue is I am so focused on my AP Calc and AP English classes that I have not had much time for any studying, so I rely on what I hear during the course. I am required to complete this assignment and it is worth 60% of my grade, and part of it is on Vectors. That being said, I am in need of help to understand this. If you do not feel like answering some of these, any advice would be greatly appreciated on HOW you would solve a question of that sort. I will provide all of the questions (or if there are multiple questions with same basic concept, I will just show 1) and all of my work up to where I get lost. Thanks in advance! 1. A plane travels 2.0 km at an angle of 33◦ to the ground, then changes direction and travels 7.7 km at an angle of 18◦ to the ground. What is the magnitude of the plane’s total displacement? Answer in units of km. At what angle above the horizontal is the plane’s total displacement? Answer in units of ◦ -For this particular question, I am stuck. For some reason, I am not understanding how to do this.... 2. An airplane flying parallel to the ground un- dergoes two consecutive displacements. The first is 33 km at 18.3◦ west of north, and the second is 174 km at 65.5◦ east of north. What is the magnitude of the plane’s total displacement? Answer in units of km. At what angle east of north is the plane’s total displacement? Answer in units of ◦. -After calculating the side (hypotenuse) I got 158.33 but it was wrong 3. A quarterback takes the ball from the line of scrimmage, runs backward for 15.0 yards, then runs sideways parallel to the line of scrimmage for 15.0 yards. At this point, he throws a 21.0-yard forward pass straight down the field. What is the magnitude of the football’s resultant displacement? Answer in units of yards. -Now this one I am lost on. I had this on a quiz a few days back and missed it. I set it up to where there is a triangle with one side being 6 (6 left over from the 21 yrd pass past the 15yrds where it started) and the other side being 15 (when making it a right triangle). Then I did a^2+b^2=c^2 and got 16.15. I believe that is right but I am afraid to answer before making sure. 4. The eye of a hurricane passes over Grand Bahama Island. It is moving in a direction 57.2◦ north of west with a speed of 34.6 km/h. Exactly 2.97 hours later, the course of the hurricane shifts due north, and its speed slows to 28.8 km/h, as shown. How far from Grand Bahama is the hurri- cane 4.23 h after it passes over the island? Answer in units of km. -Got really lost on this one. I would assume you would first subtrade 2.97 from 4.23, then times that by 28.8 to get the distance then find the hypotenuse? 5. A submarine dives 185.0 m at an angle of 13.0◦ below the horizontal. What is the horizontal component of the submarine’s displacement? Answer in units of m.What is the vertical component of the subma- rine’s displacement? Answer in units of m.