An airplane flies horizontally from east to west at 262 miles per hour relative to the air.  It flies in a steady 44 mile per hour wind that blows horizontally southwest (45 degrees south of west)   1.On the same graph, draw all of the vectors involved: a. The vector that gives the direction and speed of the wind. b. The vector that gives the direction and speed of the airplane relative to the air. c. The vector that gives the direction and speed of the airplane relative to the ground   2.  Use vector notation to express the final velocity vector. Use exact values. Express vectors using angle brackets:  < East/West, North/South > Use negative for West. Use negative for South.   3. Find the speed of the airplane relative to the ground.   Do not round till the final answer and at that time round to the nearest hundredth.  Remember to give units.   4. Find the direction of the airplane relative to the ground.   Approximately how many degrees south of west is the direction of the airplane.  Do not round till the final answer and at that time round to the nearest hundredth.        Use negative for West. Use negative for South.