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owlet

  • one year ago

Find a scalar equation of the plane that contains the point P(2,4,1) and is parallel to the plane \(2x_1 + 3x_2 -5x_3 = 6\).

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  1. Loser66
    • one year ago
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    just plug the numbers in.

  2. owlet
    • one year ago
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    |dw:1443664554238:dw| simplifying that, I got 11, so d =11 will the answer be 2x1 + 3x2 - 5x3 = 11?

  3. owlet
    • one year ago
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    that's what i did, just wanted to make sure if I'm right

  4. owlet
    • one year ago
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    i usually have a mistake in vector and scalar equations.. I usually switch them

  5. owlet
    • one year ago
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    can we fin vector equation from this?

  6. Loser66
    • one year ago
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    |dw:1443664955587:dw|

  7. Loser66
    • one year ago
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    |dw:1443665007633:dw|

  8. owlet
    • one year ago
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    ok thanks for confirming it :) can we find vector equation from this scalar equation? is it possible?

  9. Loser66
    • one year ago
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    why not? @chris00 now your turn

  10. owlet
    • one year ago
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    wait is there even a vector equation for a plane? O.o

  11. anonymous
    • one year ago
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    haha nice to throw the ball to me

  12. Loser66
    • one year ago
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    it's not hard, right? all of us know how to do, right?

  13. anonymous
    • one year ago
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    there is a normal vector equation for the plane...

  14. anonymous
    • one year ago
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    you can simply read that off

  15. anonymous
    • one year ago
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    what this represents is

  16. anonymous
    • one year ago
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    |dw:1443665293308:dw|

  17. Loser66
    • one year ago
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    hey, guy, give him the easiest way, please.

  18. anonymous
    • one year ago
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    isn't that just \[(r-r _{o})n=0\] jeez, its been so long

  19. owlet
    • one year ago
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    got it, nvm

  20. anonymous
    • one year ago
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    where n is the normal?

  21. anonymous
    • one year ago
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    yolo

  22. anonymous
    • one year ago
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    what did ya do?

  23. owlet
    • one year ago
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    i am already doing another prob

  24. anonymous
    • one year ago
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    oh, sorry mate

  25. anonymous
    • one year ago
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    probs need a refresher since its been like 4yrs ago since I've done this lel

  26. owlet
    • one year ago
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    try this then: Verify the triangle inequality and the CAuchy-Schwarz inequality if: |dw:1443665710601:dw|

  27. Loser66
    • one year ago
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    2x1+3x2-5x3=11 \(x_1= 11/2 - (3/2)x_2 +(5/2)x_3\) Hence vector equation is \(\vec x= \left[\begin{matrix}(11/2)-(3/2)x_2 +(5/2)x_3\\x_2\\x_3\end {matrix}\right]\) Now, turn to \(\vec x= \left[\begin{matrix}11/2\\0\\0\end{matrix}\right]+ x_2\left[\begin{matrix}(-3/2)\\1\\0\end{matrix}\right]+x_3\left[\begin{matrix}(5/2)\\0\\1\end{matrix}\right]\)

  28. Loser66
    • one year ago
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    That is the easiest way to find the vector equation from a scalar one.

  29. Loser66
    • one year ago
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    just replace x2 = lambda 1 and x3 = lambda2

  30. anonymous
    • one year ago
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    \[|u.v|\le|u||v|\]

  31. anonymous
    • one year ago
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    i think thats the Cauchy schwartz inequality theorem

  32. anonymous
    • one year ago
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    pretty straight forward if u apply this, i rekn

  33. owlet
    • one year ago
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    ok got it..i use the other one: |dw:1443666019926:dw|

  34. owlet
    • one year ago
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    thanks.

  35. anonymous
    • one year ago
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    the triangle inequality?

  36. anonymous
    • one year ago
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    sus this http://www.math.lsa.umich.edu/~speyer/417/CauchySchwartz.pdf

  37. anonymous
    • one year ago
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    u don't need to verify anything if u just proof it using variables

  38. anonymous
    • one year ago
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    cause a proof applies it for all cases. but its easier with numbers cause you just plug and chug it into formulas

  39. owlet
    • one year ago
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    it says on the question "Verify the Triangle Inequality"

  40. anonymous
    • one year ago
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    yea, probs best to just verify then. i was just giving you a proof for you to understand that it word for any case. perhaps you can read that in your own time to familiarise it for yourself

  41. owlet
    • one year ago
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    i will do that for sure :) I'm studying it right now. Thanks for all your help. Really appreciate it

  42. anonymous
    • one year ago
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    no problem. good luck :)

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