A sum of scalar multiples of two or more vectors (such as c 1 u + c

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A sum of scalar multiples of two or more vectors (such as c1u + c2v + c3w, where ci are scalars) is called a linear combination of the vectors. Let i = (1, 0), j = (0, 1), u = (1, 1), and v = (-1, 1).

Express (4, -8) as a linear combination of i and j (that is, find scalars c1 and c2 such that (4, -8) = c1i + c2 j).

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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