A man walks 400 m in the direction 45° north of east. Represent this vector graphically by selecting a scale and drawing a coordinate system.

Explanation:

Coordinate system is one that describe the location of an object in a given plane. It implies the use of axes (coordinates) and points.

Given that the man in the question walks 400 m due north of east. The cardinal points can be used in this case, with the north and east cardinals as the required axis.

scale =

         =

         =

scale = 1:40

This is a reduced scale which implies that 1 cm on the drawing is equal to 40 m on the original length.

The man's direction is north of east.

The graphical drawing of the vector is herewith attached to this answer.