Unformatted text preview: ( , , ) 11 2 (4pts) (b) Write in cylindrical coordinates. x y z y 2 2 2 2 + + = 8. Given . Find the following: r t t i j t k → → → → = + ( ) cos( ) sin( ) 2 2 (6pts) (a) unit tangent vector T t → ( ) (6pts) (b) unit normal vector N t → ( ) (6pts) (c)curvature at k ( , , ) 110 (2pts) (c) N t x N t → → " " ( ) ( ) (6pts) (d) Find the arc length of the curve from to . r t → ( ) t = t = p 2 9. A moving particle starts at an initial position with initial velocity . r j → → = ( ) V i k → → → = + ( ) Its acceleration is . Find the following: a t j → → = ( ) (6pts) (a) the speed V at t = 2 (6pts) (b) the position vector r t ( ) → (6pts) (c) the tangential component of acceleration at . a T t = 1...
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 Winter '08
 BRIGHAM
 Math, Vectors, Dot Product

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