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

Chapter 12, Problem 71

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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 + 1 2 (a b) 2 .

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