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How to find the distance from a straight line to a plane with space vector in senior high school mathematics?
Let a straight line run on a plane. The normal vector of the plane is n.

A is any point on a straight line and b is any point on a plane.

Then, the distance d from the straight line to this plane is equal to the absolute value of the projection of vector AB on vector N. 。

That is: d=|n times AB|/|n|.

If you like, you can naturally change it to coordinate expression.