SOLUTION: prove that for all; vector a , vector b are elements of R cubed, vector a + vector b= vector b + vector a

Question 952429: prove that
for all;
vector a , vector b are elements of R cubed, vector a + vector b= vector b + vector a
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
for a, b elements of R^3, a, b are are vectors with 3 components
let a = [3, 2, 5] and b = [1, 3, 2], the components are scaler elements of R, the real numbers
to add vectors, we add their corresponding components
a + b = [3+1, 2+3, 5+2] = [4, 5, 7]
b + a = [1+3, 3+2, 2+5] = [4, 5, 7]
therefore a + b = b + a

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