anonymous
  • anonymous
Verify that the plane with equation x-2y+2z=6 is parallel to the plane with equation r. (1,-2,2)=4 Find the perpendicular distances from the origin to each plane, and hence find the perpendicular distance between the planes.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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experimentX
  • experimentX
both have same direction cosine for normal, ie 1/3, -2/3, 2/3
anonymous
  • anonymous
Ok, true. but what of the second part?
experimentX
  • experimentX
takes time ... solve (normal from origin 0 0 0) x/1 = y/-2 = z/2 = k and x-2y+2z=6 you will get another point, find distance between origin and this point similarly solve same line with (1,-2,2)=4, find the distance between this point and origin ... subtract latter from former

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experimentX
  • experimentX
a lot better way than mine is given here http://www.math.ucla.edu/~ronmiech/Calculus_Problems/32A/chap11/section5/718d65/718_65.html
experimentX
  • experimentX
more like distance formula between point and line in 2d geometry
anonymous
  • anonymous
thanks

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