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lecture_21_slides

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lecture_21_slides [2016/04/14 11:29] rupertlecture_21_slides [2017/04/18 09:18] (current) rupert
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 ==== Orthogonal planes ==== ==== Orthogonal planes ====
  
-Let~$\Pi_1$ be a plane with normal vector $\nn_1$ and let $\Pi_2$ be a plane with normal vector $\nn_2$.+Let $\Pi_1$ be a plane with normal vector $\nn_1$ and let $\Pi_2$ be a plane with normal vector $\nn_2$.
  
 $\Pi_1$ and $\Pi_2$ are //orthogonal// or //perpendicular// planes if they meet at right angles. The following conditions are equivalent:  $\Pi_1$ and $\Pi_2$ are //orthogonal// or //perpendicular// planes if they meet at right angles. The following conditions are equivalent: 
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   * Sub in: $d=0-13(3)+17(2)=-39+34=-5$   * Sub in: $d=0-13(3)+17(2)=-39+34=-5$
   * Answer: $-2x-13y+17z=-5$, or $2x+13y-17z=5$.   * Answer: $-2x-13y+17z=-5$, or $2x+13y-17z=5$.
 +
lecture_21_slides.1460633359.txt.gz · Last modified: by rupert

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