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(a) Find the equation of a plane π that contains the line in the intersection of...

  1. (a) Find the equation of a plane π that contains the line in the intersection of the planes x+y+3z =

    2andx−y+z=1andtheorigin. Howmanysuchplanesarethere?

  2. (b) What if instead of the origin we ask for the plane containing the same line and the point

    (0, −1/4, 3/4)? What changes?

  3. (c) Back to the plane π you found in item a, let Rπ be the reflection across π. Pick an explicit

Solutions

Expert Solution

milcah answered 1 year ago
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