I've been stumped ever since i heard this one, please help.
so given that a line is parallel to the x axis (so the direction vector = lambda( 1i + 0j + 0k)
and given it intersects two other KNOWN lines, how can you go about fiinding the equation of that line (that intersects the two lines).
technically all you need now is a know point (because we already have the direction vector), but i can't find out how!
help much appreciated thanks!!
A line (in 3D euclidian space) that we are interested in finding is parallel to the x-axis.
Furthermore, it cuts the lines d and l
d = (2 + ß)i + (2 + 2ß)j + (2ß)k
and l = (2)i + (3λ)j + (2λ)k
(where λ and ß are parameters)
so how can you find the equation of that line? all i know now is that it has the direction vector (λi + 0j + 0k)...