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Unformatted text preview: 2 + (z  c) 2 = d{(x, y, z),(a, b, c)} = r, or (x  2) 2 + (y  2) 2 + (z  1) 2 = d{(x,y,z),(2,2,1)} = 6. Squaring both sides gives us the standard form of the equation of a sphere: (x  2) 2 + (y  2) 2 + (z  1) 2 = 36. See page 802 for more details. Find the distance between the points (2, 4, 3) and (6, 1, 2). From (2.2), we have d{(2,4,3) , (6,1,2)} = (62) 2 + (1(4)) 2 + (23) 2 = 4 2 + 5 2 + (5) 2 = 66 . See page 800 for more details....
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 Spring '10
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 Math, Vectors

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