quiz10ans - example, I found a cross product of a− 2 , 6...

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Math 222, Quiz 10 Name: Instructions: Answer the following questions fully, explaining your work. 1) Find the volume of the parallelepid determined by the following three vectors: u = a 1 , 1 , 1 A , v = a 2 , 1 , 2 A , w = a− 1 , 2 , 1 A Just take u × v ) · w . You should get answer of 4. 2) Find the equation for the plane through the points (2 , 4 , 5) , (2 , 0 , 2) , and (0 , 2 , 1). Find two vectors that lie in the plane. Then take their cross product. For
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Unformatted text preview: example, I found a cross product of a− 2 , 6 , − 8 A , which gives me a plane equa-tion of − 2 x + 6 y − 8 z = A . Plug in any of the points to ±nd that A = − 20, so the equation is − 2 x + 6 y − 8 z = − 20. Bonus (1pt): What is the second longest running animated series in televi-sion history? King of the Hill. 1...
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This note was uploaded on 08/08/2008 for the course MATH 222 taught by Professor Wilson during the Fall '08 term at Wisconsin.

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