anonymous
  • anonymous
Find parametric equation for the line through the point a(0,1,2) that is orthogonal to the line x=1+t , y=1-t , z=2t and intersects this line. Then, how can i graph these lines?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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amistre64
  • amistre64
graphing a 3d plot is difficult without softwarse
amistre64
  • amistre64
in order for lines to be orthogonal, their direction vectors have to dot to zero right? can you tell me the direction vector of the given line?
amistre64
  • amistre64
one idea that crops up in the back of my mind is: define a vector from the anchor point of the given line and the point a; we can determine the angle between these vector to possibly see how we can adjust it.

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amistre64
  • amistre64
|dw:1359562386825:dw|
amistre64
  • amistre64
got a better idea now that i see that one :) let the direction vector define the normal of a plane that contains point a 1(x-0)-1(y-1)+2(z-2) = 0 input the values of x,y,z in terms of t into the plane equation to determine the point that it pierces thru the plane this will give you a point on the line that can create an ortho vector with point a
amistre64
  • amistre64
|dw:1359563065614:dw|

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