Webwork 4- solutions

Webwork 4- solutions - Samadhi Gunasekera Senarath Dias...

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Samadhi Gunasekera Senarath Dias Widhanaral Assignment 4 MATH262, Fall 2008 due 10/25/2009 at 11:59pm EDT. You may attempt each problem a maximum of 6 times. 1. (1 pt) Let a = (2, 7, 5) and b = (9, 10, 3) be vectors. Compute the cross product a × b . ( , , ) Correct Answers: -29 39 -43 2. (1 pt) Consider the 3 points P = ( - 1 , 1 , - 2 ) , Q = ( - 6 , 3 , 9 ) and R = ( - 1 , 3 , - 3 ) . 1. The equation of the plane passing through P,Q,R is x + y + z + = 0 2. The parametric equations of the line L through P,Q are x = + t y = + t z = + t 3. The equation of the plane perpendicular to L and passing through R is x + y + z + = 0 Correct Answers: -24 -5 -10 -39 -1 -5 1 2 -2 11 -5 2 11 22 3. (1 pt) This question has two parts. 1. The point on the line x = 1 + t , y = 1 , z = - 2 + 4 t which is closest to the point (-1,2,-1) is ( , , ). 2. The point on the plane - 2 x - 2 y + 2 z = - 3 that is clos- est to the point (3,3,-2) is ( , , ). Correct Answers:
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Webwork 4- solutions - Samadhi Gunasekera Senarath Dias...

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