How would you add the vectors (1, 2, 3, 4) and (5,−1, 2, 0) in R4? What should 2(7, 6,−3, 1) be? In general, suppose that
a = (a1, a2, . . . , an) and b = (b1, b2, . . . , bn)
are two vectors in Rn and k ∈ R is a scalar. Then how would you define a + b and ka?
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