Vectors Final Unit Assignment 1. What is the difference between scalar and vector quantities? Give an example of each. (3 marks) 2. Convert each bearing to the equivalent quadrant bearing. (3 marks) (a) 0569 (b) 145 (c) 3180 3. Convert each quadrant bearing to the equivalent true bearing. (3 marks) (a] N35 W (b) 535 E (c) N78'E 4. Explain what it means when two vectors are considered equivalent. (2 marks) 5. Draw the following vectors. (2 marks) (a) velocity of 120 km/h N42 E (b) force of 1200 N applied 23" to the horizontal 6. Given vectors 'a', 'b', and 'c' below, construct the following. (2, 3, 2, 3 marks each) [a) a+b+c (b) 2a - b (c) a -b (d) 2b-0.5c7. Captain America throws his shield at Iron Man, from a distance of 5 metres from 234. It then ricochets from his Mark XLVI armor travelling at 4 metres to 073". What is the displacement of the shield? (4 marks) B. Aqua Man doggy paddles across a river at a speed of 0.75 km/h. The current is 1 km downstream. Determine the resultant velocity of Aqua Man. (4 marks) 9. Doctor Octopus suspends his 110 kg body from a ceiling by two of his arms. If the first arm makes an angle of 53 with the ceiling and the second arm makes an angle of 41" with the ceiling determine the tension in each arm. (4 marks) 10. Cyclops flies Blackbird (the X-men jet) at a speed of 3000 km/h on a heading of N13'W in a 50 km/h wind from N20'E. Determine the plane's ground velocity. (4 marks)11. Star-Lord fires his Element Gun at an angle of 30"to the horizontal. The projectile travels at a speed of 475 m/s. Resolve the velocity of the projectile into its rectangular components. (3 marks) 12. Thor must sail the Skipbladnir (a magical boat) to the lands of King Murmur which is $35 E of his current position. The average speed of the boat is 25 knots, and the wind is blowing from N75 E at 10 knots. (a) Draw a vector diagram of this situation. (2 marks) (b) In which direction should the sailor sail? (3 marks) (c) What is the groundspeed of the Skipbladnir? (3 marks) 13. OH the humanity! The $$ Majestic has broken down and needs to be towed to the nearest port. Due to the size of the ship two ropes are required to tow the ship. Determine the magnitude of the force in each rope if a resultant force of 50,000 N is required to move the $$ Majestic at the desired speed. (5 marks) R. 20 30 50 000 N