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Unformatted text preview: b onto a where a = h2 , 3 ,6 i and b = h 5 ,1 , 4 i 2 MAC 2313 — EXAM 1 Free Response NAME SECTION UF ID YOU MUST SHOW ALL OF YOUR WORK TO RECEIVE CREDIT!! 1. Find the equation of the plane that passes through the point (1 , 2 , 1) and contains the line of intersection of the planes x + y + z = 2 and 2 xy + 3 z = 1. 3 2. Given the vector valued function r ( t ) = ± t, cos 2 t, sin 2 t ² , we deﬁne the tangential and normal acceleration by the following a T ( t ) = r ( t ) · r 00 ( t )  r ( t )  = a N ( t ) =  r ( t ) × r 00 ( t )   r ( t )  = ﬁnd the tangential and normal acceleration at the point (1 , , 1) (Hint: A trigonometric identity along the way could save a lot of time) 4...
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This note was uploaded on 12/15/2011 for the course MAC 2313 taught by Professor Keeran during the Spring '08 term at University of Florida.
 Spring '08
 Keeran
 Calculus, Geometry, Equations, Parametric Equations

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