If are three planes and and are three non-coplanar vectors then, the three lines and are
Parallel lines
coplanar lines
coincident lines
concurrent lines
Vector equation of plane passing through a given point and normal to a given vector -
- wherein
Let a plane be passing through and normal to be any point on plane.
Now will be perpendicular to
and are lines of intersection of the three planes and . As and are non-coplanar , planes and will intersect at unique point. So the given lines will pass through a fixed point.
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