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rock_mit182

  • one year ago

find the distance between the parallel planes: a) 2x +y -2z =0 and 2x+y -2z =5

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  1. happy_to_help
    • one year ago
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    Is that how the question is written?

  2. rock_mit182
    • one year ago
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    In Exercises 37 and 38, find the distance between the parallel planes. 37. 2x + y - 2z = 0 and 2x + y - 2z = 5

  3. happy_to_help
    • one year ago
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    This is the formula you have to use

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  4. rock_mit182
    • one year ago
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    I guess i need that creepy formula: "In the case where the line £ is in IR2 and its equation has the general form ax + by = c, the distance d(B, €) from B = (x0, y0) is given by the formula"

  5. happy_to_help
    • one year ago
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    They dont give you a graph?

  6. rock_mit182
    • one year ago
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    \[d(\beta,\iota) = \frac{ |a x_{0} + b y_{0}+ c| }{\sqrt{a ^{2}+b ^{2}} }\]

  7. rock_mit182
    • one year ago
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    no, they don't give anything. But i guess it would be something like:|dw:1443017717632:dw|

  8. rock_mit182
    • one year ago
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    @texaschic101 @inkyvoyd Could you give me a hand on this one..

  9. rock_mit182
    • one year ago
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    @paki @welshfella

  10. rock_mit182
    • one year ago
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    In general, the distance d(B, <JP) from the point B = (x0, y0, z0) to the plane whose general equation is ax + by + cz = d is given by the formula: \[d(\beta, Plane) = \frac{ |ax _{0}+ by _{0}+ c z _{0} - d |}{ \sqrt{a ^{2}+b ^{2}+c ^{2}} }\]

  11. welshfella
    • one year ago
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    first you must find a point that lies on one of the planes for the first equation x = y = z = 0 so there is the point (0,0,0) on that plane

  12. welshfella
    • one year ago
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    so now you can use your formula

  13. rock_mit182
    • one year ago
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    that's all ?

  14. rock_mit182
    • one year ago
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    what if use a point of the other plane should i get the same answer ?

  15. welshfella
    • one year ago
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    x0 y0 and z0 = 0 d = 5

  16. welshfella
    • one year ago
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    yes I've never come across this formula before but i dont see why not Its easy to use (0,0,0) though

  17. welshfella
    • one year ago
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    the numerator will be 5 and plug in a = 2 , b = 1 and c = -2

  18. rock_mit182
    • one year ago
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    ok it seems easy... could you help me with this one: Find the normal form of the equation of the plane that passes through P = (O, - 2, 5 ) and is parallel to the plane with general equation 6x - y + 2z = 3 .

  19. welshfella
    • one year ago
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    I'd have to look all that stuff up I'm afraid but i haven't got the time at the moment.

  20. rock_mit182
    • one year ago
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    ok fine, thanks anyway

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