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# quiz1 - not explain(hint the answer is no x =< 1 1>...

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Math 234 September 26, 2005 Quiz 1 due October 4, 2005 Name: Circle one: T 8:50 T 9:55 R 8:50 R 9:55 1. Change the following equation into cartesian coordinates: z = r 2 sin(2 θ ) 2. Take the derivative: ∂r ( e r r 2 sin( θ ) z 1 / 4 ) 3. p.618 # 58, note that unit vectors satisfy B · B = 1 2 = 1

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4. Simplify: a) i × k b) ( i × j ) × ( i × j ) c) ( i × j ) · k d) ( i × j ) × j e) i × ( j × j ) 5. Is there a plane that contains the following two lines? If so Fnd it. x = < 1 , 1 , 0 > + t < 2 , 0 , 2 > and x = t < 1 , 1 , 0 > 6. Is there a plane that contains the following two lines? If so Fnd it. If
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Unformatted text preview: not, explain. (hint: the answer is no) x = < 1 , 1 , > + t < 2 , , 2 > , and x = t < , 1 , > 7. ±ind the equation of the plane containing the line x = < 1 , 1 , > + t < 2 , , 2 > , and the point P (0 , 1 , 0) 8. What is the distance between the points P 1 (2 , , 0) and P 2 (1 , , 5) What is the distance from the point P (2 , , 0) to the plane from ques-tion 5?...
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quiz1 - not explain(hint the answer is no x =< 1 1>...

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