It is known that the straight line a is perpendicular to the straight line b, and the straight line

It is known that the straight line a is perpendicular to the straight line b, and the straight line in the perpendicular to the plane. What is the relative position of the straight line a and the plane.

If line b is perpendicular to the plane, then it is perpendicular to any line belonging to this plane.

If the straight line a is perpendicular to the straight line b, and the straight line b is perpendicular to any straight line lying in an arbitrary plane, then the straight line a will not have a single point in common with any straight line of this arbitrary plane.

Consequently, line a will be parallel to this plane.



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