How do you find the component form of the sum of u and v with direction angles deta_u and deta_v?

Question

I'm only giventhe following information to find the component of the sum...
magnitude; || u || = 5
angle; deta_u = 180 degree and deta_v = 45 degree

haha wow you're so right, i forgot to put the other magniture
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HERE IT IS PEOPLE YOU'LL NEED THIS:
magnitude || v || = 5

Answer 1

Do you have a magnitude for the vector v? Without that magnitude, the answer can have quite a range of values. If v=0, u+v=u but if v->infinity, u+v=v.

Answer 2

u = 5 = 5<-1,0> = <-5,0>
v = 5 = 5<1/√2,1/√2> = <5/√2,5/√2>

u + v = <-5,0> + <5/√2,5/√2> = <-5+5/√2,5/√2>