Suppose that r 1 (t) = 1 (t)i + 2 (t)j + 3 (t)k,
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Suppose that r1(t) = ƒ1(t)i + ƒ2(t)j + ƒ3(t)k, r2(t) = g1(t)i + g2(t)j + g3(t)k, limt→t0r1(t) = A, and limt→t0 r2(t) = B. Use the determinant formula for cross products and the Limit Product Rule for scalar functions to show that
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lim (r(t) x r₂(t)) = A x B. t-to
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To begin with lets recall the determinant formula for the cross product of two vectors in terms of t...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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