A+B= (190, 10). Now is this method of vector addition correct?

I know very little of the maths of economics, finance or biological stuff.
Vectors mathematically obey the vector space axioms.
These are much more general than pointy arrows.
So if your finance maths supports
all of these then yes, otherwise no.
A vector space V is a collection of all like vectors plus one binary operation between any two of these vectors and a second collection of objects called scalars which can be used as coefficients.
I have used bold to signify vectors.
u and
v are vectors in a vector space V if
1) Denoting the binary operation as addition if
u and
v are in V then there is a unique vector
w = (
u +
v) also in V. although w may also be formed from adding adifferent pair such as
x and
y
2) (
u +
v) = (
v +
u)
3)
u + (
v +
w) = (
u +
v) +
w
4)There is a vector
0 in V such that
0 +
u =
u +
0 =
u for all
u in V
5) For each
u in V there is a vector
u such that
u + (
u) = (
u) +
u =
0
6) If k, l are any coefficients from the second collection then if
u is in v then k
u is in V
7) k(
u +
v) = k
u + k
v
8)(k + l)
u = k
u + l
u
9) k(l
u) = (kl) (
u)
10) 1
u =
u
Axiom 5 refers to topsquark's additive inverse.