3D Geometry
Geometry
Level
3
The lines 2x=3y=-z and 6x=-y=-4z
are perpendicular
intersect at an angle 45 degree
are parallel
intersect at an angle 60 degree
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
Letting z = 6 for the first line and y = 1 2 for the second, we find the direction vectors ( − 3 , − 2 , 6 ) and ( − 2 , 1 2 , 3 ) , resp. The lines are perpendicular as the dot product of these two vectors is 0; the two lines intersect at the origin.