Question

prove that vector addition is also associative

Answer 1

so let A = a₁i + a₂j
B = b₁i + b₂j
C = c₁i + c₂j
so
(A + B) + C =  (a₁i + a₂j + b₁i + b₂j )+ c₁i + c₂j   .............................i
again
A + (B + C) = a₁i + a₂j +( b₁i + b₂j + c₁i + c₂j )   .............................ii
so i = ii
so (A + B) + C =  A + (B + C)

Answer 2

Answer:

prove that vector addition is associative