## ee2oo 2 years ago 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?

1. amistre64

graphing a 3d plot is difficult without softwarse

2. 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?

3. 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.

4. amistre64

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5. 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

6. amistre64

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