The diagram shows the coordinates of the vector. They are:
East-coordinate = 6
North-coordintate = 4
A) To find the magnitude you just use Pythagorean theorem:
c^2 = 6^2 + 4^2 = 36 + 16 = 52 => c = √52 = 7.21
7.21 rounded to the nearest tenth is 7.2
B) To find the direction find the angle using trigonometric ratios:
tan(angle) = 4/6 = 2/3 => angle = arctan(2/3) = 33.69 degrees
That is 33.69 degrees North of East, which is written N 33.69° E
