SOLUTION: Given the magnitudes of vectors u and v and the angle theta between them, find the magnitude of the sum u+v? and the angle that the sum vector makes with u to the nearest degree. |

Question 928441: Given the magnitudes of vectors u and v and the angle theta between them, find the magnitude of the sum u+v? and the angle that the sum vector makes with u to the nearest degree. |u|=57, |v|=57, theta=12 degree
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Look at the components of each vector.
u=(,)
v=(,)
Adding them,
u+v=(,)
u+v=(,)
or approximately
u+v=(,)
So then the magnitude is,

The angle is that u+v makes with u is 1/2 the original angle,

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