anonymous
  • anonymous
find a vector equation and parametric equations for the line through point (0,14,-10) and parallel to the line x=-1+2T, y=6-3T, Z=3+9T
Mathematics
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anonymous
  • anonymous
find a vector equation and parametric equations for the line through point (0,14,-10) and parallel to the line x=-1+2T, y=6-3T, Z=3+9T
Mathematics
jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
parallel have same vector parts; just different point parts
amistre64
  • amistre64
x = -1+2t y = 6-3t z = 3+9t strip off the old point (-1,6,3) x = Px+2t y = Py-3t z = Pz+9t and add in the new point (0,14,-10) x = 0+2t y = 14-3t z = -10+9t and we get the parametric
amistre64
  • amistre64
what a vector equation look like? is the that v = i+j+k stuff?

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anonymous
  • anonymous
what does the 2T, -3T and 9T represent?
anonymous
  • anonymous
yes it is
amistre64
  • amistre64
the vector <2,-3,9> strecthed to any scalar "t"
amistre64
  • amistre64
to form a line; its just a vector attached to a pointand strecthched to hit all point on the line
amistre64
  • amistre64
v = t(2i -3j +9) maybe?
amistre64
  • amistre64
i got no idea how your text formats a vector equation, but its pretty basic from that i believe
anonymous
  • anonymous
okay how would i do it if it was perpendicular instead of parallel?
amistre64
  • amistre64
the perp vector has to dot with the original vector and get 0
amistre64
  • amistre64
2,-3,9 a, b, c ------- 2a-3b+9c = 0
anonymous
  • anonymous
okay still kinda confused, i'll ask another question on it hang on
amistre64
  • amistre64
there are infinelty many perp vector to a line; they form a plane all around it
amistre64
  • amistre64
|dw:1327851858959:dw|
anonymous
  • anonymous
okay that makes sense, can you look at my new question please?
amistre64
  • amistre64
sure

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