Vector components, solving 2D displacement problems with trigonometry, vector components and with a rotated coordinate system. Solve each question below with each of the above ways of solving.

#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 45 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 [S 45 W]. Determine its displacEment. #3 The Abominable Snowman is 50 km [W] of Mount Frosty. First it walks 100 km [S 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 displace-ment. #5 A Sasouatch is 100 km [NE] of Lake TotEm. First it travels 100 km [E 10 N], then 100 km [N 35 E], and then finally 200 km [S 30\" W]. Determine its diSpIaCement. Hint: easiest if rotate +3: to [E 10\" N]. #6 A Unicorn is initially 10 km [N 15 E] of Hogwarts. After travelling tor 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 15 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. [+1 if solve twice] #3 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]