Assignment 01A Vectors (Mystical Creatures) You must use each method at least twice somewhere in the assignment. For extra credit you may solve each problem twice or thrice using various solution methods - which will help you know if you are mastering the skills, as you should get the same answer each time you solve it. Also, as a second solution to one problem for extra credit you can try the less accurate scale diagram method used by people before calculators were invented. See my YouTube video to see how to do so. #1 - The Chimera is 10 km [E 30 5] of Barrie, Ontario. It stalks around Simcoe County doing 100 km of exercise and finally ends up at 20 km [E 450 N] of Barrie. Determine its displacement and compare its magnitude to its distance. #2 - The Sphinx is 100 km [W] of Cairo. First it walks 100 km [S], then 200 km [E 30* N] and finally 100 km [5 45 W]. Determine its displacement. #3 - The Abominable Snowman is 50 km [W] of Mount Frosty. First it walks 100 km [$ 60* E] then 200 km [E 10 N]. Determine its displacement. #4 - A Yeti is 10 km [E 30 N] of Lake Momo in Algonquin Park. First it moves 20 km [NE] then 15 km [SE]. Determine its displacement. #5 - A Sasquatch is 100 km [NE] of Lake Totem. First it travels 100 km [E 10' N], then 100 km [N 350 E], and then finally 200 km [5 80 W]. Determine its displacement. Hint: easiest if rotate +x to [E 10' N]. #6 - A Unicorn is initially 10 km [N 15* E] of Hogwarts. After travelling for 100 m it teleports and It ends up at 10 km [E 10 N]. Determine its displacement. - Try to solve this question with a trigonometry solution. You may check your solution using a vector components solution if you wish to. (+10 if solve twice) #7 - A Pegasus is initially 100 km [E 150 N] of Mt Olympus. It displaces 50 km [E 30* 5]. Determine its final position. Solve this question using a rotated coordinate system. You may wish to double check your solution using regular vector components. (+10 if solve twice) #8 - A Dragon is 50 km [SW] of Mount Doom. First it travels 100 km [S], then 50 km [E 30* 5], and then finally 200 km [NW]. Determine its displacement, final position and distance. Solve this question using regular vector components. Feel free to double check your answer using a trigonometry or rotated coordinate system but it is not necessary. (+10 if solve twice)