How do you find vector sums?

if given vector a is X, and vector b is Y, how do you find vector c?

How do you find vector sums?
Normally a vector a is expressed as 3 components:


a1i + a2j + a3k,


where i, j, and k are mutually perpendicular unit vectors.


Similarly, b can be expressed:


b1i + b2j + b3k.


The sum is:


(a1 + b1)i + (a2 + b2)j + (a3 + b3)k.
Reply:you have to add together the x and y coordiates.





a = (a1, a2)


b = (b1, b2)


c = (a1 + b1, a2 + b2)





a1 is the x-coordinate of X, and a2 is it's y coordinate. you can find these using trigonometry, but you need to know the angle of the vector.