THESE ARE THE NOTES MY TEACHER GAVE ME WHEN I GOT IT WRONG: my original answer was Graphed to verify 30.72i+193.18j+53.46k but i don't know if i got it wrong because of my method of solving. Regardless these are my notes on how my teacher wants it solved. Find the component forms of the vectors representing the airplane and wind and add them to determine the resultant vector. Airplane: v = ; Wind: w = . Also refer to Lesson 8- 4 Vectors in Three-Dimensional Space.

6. An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of 180 relative to the horizontal. The wind is blowing with a velocity of 42 miles per hour at an angle of $47E. Find a vector that represents the resultant velocity of the plane relative to the point of takeoff. Let i point east, j point north, and k point up. (Show work)