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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