It helps the plane balance. And on the planes tail it has two flaps on each side, and when these flaps go up it lifts the tail and the plane goes down, and when the flaps go down then then plane goes up.
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If you mean tailfin, it provides lateral stabilization, as well as being the mounting point for the rudder.
No, two planes do not intersect in exactly one plane unless the planes are exactly overlapping, making one plane. In Euclidean Geometry two planes intersect in exactly one line.
the intersection of planes DCG and EAB
If you mean "only one plane can pass through another plane and through a point that is not on the line formed by the intersection of the two planes," the answer is "no." If you rotate the plane about the point, it will still intersect the line unless it is parallel to the line. By rotating the plane, you have created other planes that pass through the unmoved plane and through the point that is not on the line formed by the intersection of the two planes.
The intersection of three planes can be a plane (if they are coplanar), a line, or a point.
yes, it may be the two plane intersect at one line or the two planes are coincident.