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Unformatted text preview: vector normal (perpendicular) to the plane. ex. Find the equation of the plane through P(2, 6, 3) which is normal to n 3, 2, 1 . ex. Find the equation of the plane through P(2, 6, 3), Q(1, 0, 1) and R(4, 4, 4). ex. Find a normal vector to the plane z 2 x y 1 . ex. Determine if the following two lines are parallel, perpendicular, intersect at a non right angle, or are skew. x 1 3 5 t x 2 2 s y 1 15 t y 27s z 1 10 t z 2 32 s ex. x 1 t x 2 1 s y 1 2 2 t y 2 4 4 s z 1 3t z 2 2 2 s Do: 1. Find the equation of the line through P(1,1,1) perpendicular to the plane 2 x3 y 5 z 4 . 2. Find the equation of the plane through P(2, 5, 1) parallel to the plane z = 3. 3. Find the equation of the line of intersection of planes x + y + z = 1 and x – 2z = 0. 4. Is the line x2 1 2 t ,± y2 t ,± z the same line as x 2 1 2 t ,± y 2 t ,± z ?...
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 Fall '08
 LLHanks
 Equations, Parametric Equations

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