anonymous
  • anonymous
distance of (0,0,0) from the plane x+y+z+1=0 parallel to the vector (i-j+k)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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dan815
  • dan815
|dw:1377843108145:dw|
dan815
  • dan815
|dw:1377843135593:dw|
dan815
  • dan815
|dw:1377843178744:dw|

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dan815
  • dan815
the shortest distance from the point to the plane is
dan815
  • dan815
when there is an intersection of the normal line of the plane with that point
anonymous
  • anonymous
i m not talking about the shortest distance but the distance along that vector i-j+k
dan815
  • dan815
Ohh i see okay!
dan815
  • dan815
|dw:1377843376689:dw|
dan815
  • dan815
so write a paremetric equation for this line
dan815
  • dan815
|dw:1377843483135:dw|
dan815
  • dan815
|dw:1377843536661:dw|
dan815
  • dan815
then you can just take the magnitude of that r(t) vector
dan815
  • dan815
|dw:1377843645342:dw|
anonymous
  • anonymous
thanks
amistre64
  • amistre64
if you know how far away the origin is from the plane, you could have also worked it like this |dw:1377864991145:dw|
amistre64
  • amistre64
but i tend to just try to find 2 points to distance like dan demonstrated :)
amistre64
  • amistre64
if we make the vector applied to "t" a unit vector to start with, then the distance is just the value of t ... not that it matters in the end :)

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