Let c be a scalar, a and b be vectors, and X (x, y, z) Show that the equation (X a) (X b) c 2 defines a sphere with center m 1 2 (a b) and radius R, where R 2 c 2 1 2 (a b) 2 ...

We evaluate the following length 1 x m x a b x a abxbab 2 xa x b xa xb x a x ...

Let c be a scalar, a and b be vectors, and X = (x, y, z). Show

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Let c be a scalar, a and b be vectors, and X = (x, y, z). Show that the equation (X − a) · (X − b) = c² defines a sphere with center m = 1/2 (a + b) and radius R, where R² = c² + ΙΙ1/2 (a − b)ΙΙ².

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 15, 2024 07:00 AM

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Let c be a scalar, a and b be vectors, and X = (x, y, z). Show

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Calculus

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