Unformatted text preview: a,b,c ) to ( c,a,b ). What is the smaller angle between ~v and ~w ? 6. Show that the lines deﬁned by ‘ : ( x,y,z ) = (0 , 2 , 4) + s h 7 , 1 ,3 i and ‘ : ( x,y,z ) = (3 , 5 , 6) + t h1 , , 2 i are skew. Find the shortest distance between these lines. 7. Find the point P which is the intersection of the lines ‘ : ( x,y,z ) = (3 , ,3) + s h 2 ,4 , 1 i and ‘ : ( x,y,z ) = (3 ,25 , 4) + t h 10 , 5 ,2 i . Give a parametric equation for the line connecting the origin to P. 1...
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 Fall '11
 Loveys
 Maclaurin Series, Dot Product, Parametric equation, Maclaurin series ﬁrst

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