# Adding and Subtracting Vectors of Different Directions

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1. Feb 3, 2016

### Balsam

1. The problem statement, all variables and given/known data
Given the initial velocity of 6m/s[North] and the final velocity of 3m/s[East], how would you find the change in velocity?

2. Relevant equations
Change in velocity= final velocity- inital velocity

3. The attempt at a solution

I don't know how to do this. I know that if the directions were opposite, like north and south, I could make one direction negative and one positive and then subtract, and the sign infront of my answer would tell me the direction of my answer. But, I don't know what to do when the directions aren't opposites, like north and west or south and east. Is there a method for adding and subtracting vectors of different directions?

2. Feb 3, 2016

### DaveC426913

Yes. Googling vector addition should give you a pretty clear idea how to go about it.

Essentially, you break each vector into its x and y (and possibly z) components. But Google it for the specifics.