anonymous
  • anonymous
Determine an equation of the line of intersection of the planes 5x+y+2z+15=0 and 2x+y+2z+8=0. Answers is equation = (-7,20,0)+t(0,-2,1)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
I know how to find the direction vector (0,-2,1) but what about the point?
amistre64
  • amistre64
5x+y+2z+15 = 2x+y+2z+8 5x +y +2z +15 -2x -y -2z -8 ----------------- 3x + 7 = 0
amistre64
  • amistre64
x = -7/3 seems to be the line of intersection if i did it right

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amistre64
  • amistre64
i dont think I did it right :)
anonymous
  • anonymous
oh lol
anonymous
  • anonymous
yeah i figured it out
anonymous
  • anonymous
First we find the direction vector by crossing the normals of each line
amistre64
  • amistre64
sounds good
anonymous
  • anonymous
then we can find a point that is on both lines by finding a point that satisfies both equation
anonymous
  • anonymous
im sure you probably knew all this :P
anonymous
  • anonymous
medal still for you pops :D
amistre64
  • amistre64
its rattling around up there someplace inbetween the rafters lol
anonymous
  • anonymous
lol .. highschool ?
amistre64
  • amistre64
nah..... high school went and gone many many years ago
anonymous
  • anonymous
lol .. PhD?
anonymous
  • anonymous
:P

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