A ship travels in the direction S60°E for 10 miles. Find it’s position in vector notation, rounded to two decimal places.

Answer 1

Standard 2-dimension vector notation (magnitude @ angle) would show the location as 10 @ -60 degree, that is, an arrow of length 10 pointing downward from horizontal and to the right of vertical such that the angle between the magnitude arrow and the horizontal is 60 degrees. In standard rectangular coordinates this would convert to (5, -8.66), i.e., 10 x [cos (-60), sin(-60)].

Answer 2

Draw and label a diagram!

<3√5, -5>