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?

Question

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?

amistre64 · Answer

graphing a 3d plot is difficult without softwarse

amistre64 · Answer

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 · Answer

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.

amistre64 · Answer

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