46. Limits of cross products of vector functions Suppose that r;(t) = f1(t)i + f2(f)j+ f3(t)k, r,(t) = g1(t)i + g2(t)j + g3(t)k, lim,, r;(t) = A, and lim,>1, F2(t) = B. Use the determinant formula for cross products and the Limit Product Rule for scalar functions to show that lim (r,(t) × r,(t)) = A × B.
46. Limits of cross products of vector functions Suppose that r;(t) = f1(t)i + f2(f)j+ f3(t)k, r,(t) = g1(t)i + g2(t)j + g3(t)k, lim,, r;(t) = A, and lim,>1, F2(t) = B. Use the determinant formula for cross products and the Limit Product Rule for scalar functions to show that lim (r,(t) × r,(t)) = A × B.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![46. Limits of cross products of vector functions Suppose that
r;(t) = f1(t)i + f2(f)j+ f3(t)k, r,(t) = g1(t)i + g2(t)j + g3(t)k,
lim,, r;(t) = A, and lim,>1, F2(t) = B. Use the determinant
formula for cross products and the Limit Product Rule for scalar
functions to show that
lim (r,(t) × r,(t)) = A × B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd79c3b38-171e-4e51-acfe-c6467ee792af%2F8bb05704-1d53-4af0-87f9-292367e69ca6%2Fvogd7k5.png&w=3840&q=75)
Transcribed Image Text:46. Limits of cross products of vector functions Suppose that
r;(t) = f1(t)i + f2(f)j+ f3(t)k, r,(t) = g1(t)i + g2(t)j + g3(t)k,
lim,, r;(t) = A, and lim,>1, F2(t) = B. Use the determinant
formula for cross products and the Limit Product Rule for scalar
functions to show that
lim (r,(t) × r,(t)) = A × B.
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