Unformatted text preview: → n 2 =  → n 1  → n 2  cos θ . (b) Use that a 2 + b 2 + c 2 = 6 in the equation in part (a). (c) Suppose ax + by + cz = d is P or P 00 so that Q and R are on ax + by + cz = d . Then → QR = h 1 , 1 ,1 i is perpendicular to → n 2 in part (a). From → n 2 · → QR = 0, deduce a + bc = 0. (d) (1 ,1 ,2) and (2 ,1 , 1) (e) x + y + 2 z = 9 and 2 xy + z = 12...
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 Spring '08
 Filaseta
 Math, Critical Point, Vector Calculus, b2 + c2, local mininimum, Suppose ax+by+cz

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