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burhan101 Group Title

Are these planes parallel and distinct or parallel and coincident ? 3x+9y-6z-24=0 4x+6y-14z-8=0

  • one year ago
  • one year ago

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  1. tkhunny Group Title
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    Divide the first by 3 and the second by 2, for starters.

    • one year ago
  2. burhan101 Group Title
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    @tkhunny and then ??

    • one year ago
  3. tkhunny Group Title
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    What do you get?

    • one year ago
  4. burhan101 Group Title
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    x=4+5z

    • one year ago
  5. tkhunny Group Title
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    ?? What is that? I was hoping you would get: x+3y-2z-8=0 2x+3y-7z-4=0

    • one year ago
  6. burhan101 Group Title
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    Yes i did

    • one year ago
  7. burhan101 Group Title
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    Then i did elimination to get rid of y

    • one year ago
  8. tkhunny Group Title
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    Why? Are they parallel?

    • one year ago
  9. burhan101 Group Title
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    Yes

    • one year ago
  10. burhan101 Group Title
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    We have to figure of if theyre parallel and distinct or coincidentt

    • one year ago
  11. tkhunny Group Title
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    They are? What makes you think so? When you eliminated y, didn't that give you a line in the x-z plane?

    • one year ago
  12. burhan101 Group Title
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    its given in the question

    • one year ago
  13. tkhunny Group Title
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    Are you going to buy it, just because it says so? If they are parallel, shouldn't they have the same Normal Vector?

    • one year ago
  14. burhan101 Group Title
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    so they're not parallel, they intersect ?

    • one year ago
  15. tkhunny Group Title
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    That's what they look like to me.

    • one year ago
  16. burhan101 Group Title
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    Answer key says parallel and coincident

    • one year ago
  17. tkhunny Group Title
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    3x+9y-6z-24=0 4x+6y-14z-8=0 Find a point on one of them. (10,0,1) Prove 3(10) + 9(0) - 6(1) - 24 = 30 + 0 - 6 - 24 = 24 - 24 = 0 Is it on the other one? 4(10) + 6(0) - 14(1) - 8 = 40 - 14 - 8 = 26 - 8 = 18 \(\ne 0\) Okay, we just proved that they are NOT coincident. Did you write the problem correctly? If you did, we're done.

    • one year ago
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