The triangle inequality states that, the sum of any two sides of a triangle must be greater than the third side of the triangle. But the triangle law of vector addition states that if we can represent two vectors as the two sides of a triangle in one order ,the third side of the triangle taken in the reverse order will be the sum of the two vectors. However, the above two laws seem to contradict each other; one states that the third side should be less than the sum of the other two sides, while the other law states that it would be equal (considering the magnitudes of the vectors). So can anyone tell me what I'm missing here? Thanks.