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in this video were going to talk about how to calculate the magnitude and the direction of the resultant vector that is formed when taking the sum of two other force vectors and you can see the two of the force vectors in the diagram shown below but how can we find the results in vector well what we need to do is we need to break down each vector into its component form and then we need to add the components together which will give us the resultant vector in component form then well find the magnitude and the direction of that vector so what we need to do is we need to determine the x component and the y component of each force vector well call the x component f1x and the y component f1y f1x is going to be f1 cosine theta so thats 200 newtons times cosine of 30 degrees now when you plug this in your calculator make sure that its in degree mode cosine 30 is equal to the square root of 3 over 2 or 0.866 if we multiply that by 200 its going to be 173.2 now lets do the same thing
