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Unformatted text preview: + t h& 1 ; & 2 ; i . Parametric equations for this line are x = & 4 & t y = 5 & 2 t z = & 4 &1 < t < 1 . Symmetric equations are x & 4 & 1 = y & 5 & 2 z = & 4 . 4) Find either parametric equations or a component&form equation for the plane that contains the point P (5 ; 1 ; & 4) and is perpendicular to the vector n = h& 1 ; & 1 ; & 5 i . Solution: A component&form equation for this plane is n ± &&! P P = 0 or h& 1 ; & 1 ; & 5 i ± h x & 5 ; y & 1 ; z + 4 i = 0 or & ( x & 5) & ( y & 1) & 5 ( z + 4) = 0 or & x + 5 & y + 1 & 5 z & 20 = 0 or & x & y & 5 z = 14 . 2...
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 Fall '10
 Ellermeyer
 Math, Equations, Parametric equation

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