Adding and Subtracting Vectors of Different Directions

AI Thread Summary
To find the change in velocity when dealing with vectors of different directions, start by breaking each vector into its components. For the initial velocity of 6 m/s [North], this can be represented as 0 m/s in the x-direction and 6 m/s in the y-direction. The final velocity of 3 m/s [East] translates to 3 m/s in the x-direction and 0 m/s in the y-direction. After determining the components, subtract the initial vector components from the final vector components to find the change in velocity. This method allows for accurate calculations even when the vectors are not in opposite directions.
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Homework Statement


Given the initial velocity of 6m/s[North] and the final velocity of 3m/s[East], how would you find the change in velocity?

Homework Equations


Change in velocity= final velocity- inital velocity

The Attempt at a Solution


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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?
 
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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.
 
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