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

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Basic Math

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

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

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

    (0, ?1/4, 3/4)? What changes?

  3. (c) Back to the plane ? you found in item a, let R? be thereflection across ?. Pick an explicit

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