Solved: R Vectors in Different Drawings Same Magnitude?

[razored]

[SOLVED] Is the R the same?

Question : Is the resultant vector of A + B - C the same magnitude in both drawings? I rearranged the vectors to form a different shape, but they would still have the same resultant vector, right?

http://img150.imageshack.us/img150/826/38838600id4.gif

 

[hunter151]

Yes, because essentially what you are doing in the first drawing is A + B + (-C), whereas in the second drawing you have B + (-C) + A.

This is perfectly fine since vector addition is commutative (it doesn't matter what order the vectors are added in).

 

[Kaleb]

Easy way to check is assign simple numbers to your variables.

 

[razored]

Thank you for the quick and accurate results.