# How to find resultant for 3 given vectors

We were given this problem over the weekend, but our teacher never explained how to do it and we have a quiz on vectors tomorrow and it may be on it. I tried, but couldn't get it...
- Find the resultant of the three vectors A=(-4.0 m) on x-axis + (2.0 m) on y-axis, B= (6.0 m) on x-axis + (3.5 m) on y-axis, and C= (-5.5 m) on y-axis.

I drew it out and drew the vectors tip to tail, but I have no idea a resultant can be made from three vectors. I was thinking maybe the component method, but that would be 6 triangles and it didn't seem right. Please help!

## Answers and Replies

I am a senior in physics, so I'm not exactly an expert. But I have already completed that chapter. Simply add all of the Y's to find the y-component of Vr ($$V_ry$$). Next, add all of the X's to find the X component of Vr ($$V_rx$$). Then:
$$V_r = \sqrt{V_ry^2 + V_rx^2}$$

Correct me please if I am mistaken (physics is giving me trouble).

HallsofIvy