Add Vectors: 55km South + 34km North

[cvc121]

Homework Statement

Illustrate the addition of the following two vectors and calculate the resulting vector: 55km [South] + 34km [North].

Homework Equations

The Attempt at a Solution

[/B]
The attempt at the solution is below. What is troubling me is the overlap of the vectors and how to draw it. Is a vertical line a proper illustration of the addition for those two vectors? Also, do I need an arrow? If so, which way would it be pointing? My answer for the resulting vector is 21km [South].

 

[BvU]

How would you draw "21km [South]" ? That's what the sum of these two vectors looks like ! Well done.

THere is another approach to this: You probably know how to add 55 [N]
and 34 [E]. gradually rotate the 34 [E] until it points [N] and draw a few intermediate sum vectors to see where it ends up.

By the way, we usually draw north above and south below ...