Acar is traveling at a speed of 50 km/hr. the positive y-axis is north and the positive x-axis is east. resolve the car's velocity vector (in 2-space) into components if the car is traveling in each of the following directions:
east
south
southeast
northwest

We need to draw a coordinates. the east and south should be the north vector for horizontal line 50 KM in distance is zero. the south is a negative. the south east and north west we should draw the 45 degrees angle in the approprate quadrant and then use the 1-1-sqrt(2) have a relationship in 45-45-90 triangles to resolve the N/S, E/W components.

hope this help