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Unformatted text preview: 2) Find the principal unit normal vector to the curve above at the specified point. 2 4 , , ) ( t t t t r= → ) 3 , 1 , 1 ( P Sometimes shortcut to principal unit normal vector. For plane curves, you can find the principal unit normal vector by finding T (t)= and then observe that N (t) will either be OR It will be the one that points toward the concave side of the curve. j t y i t x ) ( ) ( + j t x i t y t N ) ( ) ( ) ( 2 += j t x i t y t N ) ( ) ( ) ( 2 += Examples: 1) Find T (t), N (t), and at the given time for the given curve r(t) r (t)= at t=1 r (t)= t=0 T a N a tj i t 2 2 + k e tj e ti e t t t + + sin cos...
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 Fall '12
 PamelaSatterfield
 normal vector, principal unit

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