Consider the vectors I = (1/2, 1/2, 1/2), J = (-1/2, 1/2, 0), and K = (1/2,

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Consider the vectors I = (1/2, 1/2, 1/√2), J = (-1/√2, 1/√2, 0), and K = (1/2, 1/2, -1√2).

a. Sketch I, J, and K and show that they are unit vectors.

b. Show that I, J, and K are pairwise orthogonal.

c. Express the vector (1, 0, 0) in terms of I, J, and K.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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