coplanar condition
[koh-PLAY-nar kuhn-DISH-uhn]
nounpl: coplanar conditions
condição coplanar
1. A geometric or mathematical condition stating that two or more objects, points, lines, or vectors lie in the same plane
The coplanar condition ensures that all four points lie on the same flat surface.
A condição coplanar garante que todos os quatro pontos estejam na mesma superfície plana.
2. In engineering and physics, the requirement that structural elements or forces must be contained within a single plane for analysis or stability
The coplanar condition was satisfied when all forces acting on the beam were in the same vertical plane.
A condição coplanar foi satisfeita quando todas as forças atuando na viga estavam no mesmo plano vertical.
3. In linear algebra, the property that vectors are linearly dependent when their scalar triple product equals zero
To verify the coplanar condition, we calculated the determinant of the three vectors.
Para verificar a condição coplanar, calculamos o determinante dos três vetores.
This is specialized technical terminology used primarily in academic and professional settings in both Brazil and the USA. It is part of the universal language of mathematics and engineering, with consistent usage across Portuguese and English-speaking countries. The term is more common in formal educational contexts rather than casual conversation.
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