Noun Phrase
/ˌæntiˈpærəˌlɛl ˈvɛktərz/
Antiparallel vectors are two vectors that are parallel in their direction but have opposite orientations, meaning they point in exactly opposite directions. Mathematically, if vector A is directed along a certain line, then an antiparallel vector B would be directed along the same line in the opposite direction. This concept is particularly relevant in physics and engineering when dealing with forces, motion, or any other vector quantities.
The term "antiparallel vectors" is frequently used in both written and oral contexts, particularly in academic fields such as physics and mathematics. However, it may be more commonly found in written form, such as textbooks, academic papers, and articles that explain vector mechanics.
The two antiparallel vectors exert equal force in opposite directions, resulting in a zero net force.
(Два антипараллельных вектора оказывают равные силы в противоположных направлениях, в результате чего получаем нулевую результирующую силу.)
In electrostatics, the concept of antiparallel vectors is critical for understanding the behavior of forces between charged particles.
(В электростатике концепция антипараллельных векторов критически важна для понимания поведения сил между заряженными частицами.)
When working with antiparallel vectors, it's essential to consider their magnitudes as well as their directions.
(При работе с антипараллельными векторами важно учитывать как их величины, так и направления.)
Although "antiparallel" itself is not commonly found in idiomatic expressions, the concept of parallelism and opposition does play into idiomatic language. Here are some phrases that relate to opposition and parallelism, along with "antiparallel":
"Two sides of the same coin" - Often used when discussing two elements that are different but related, much like antiparallel vectors that are opposite but lie on the same line.
(Две стороны одной медали — часто используется при обсуждении двух элементов, которые разные, но взаимосвязаны, как антипараллельные векторы, которые противоположны, но лежат на одной прямой.)
"Opposition that strengthens" - A phrase that can describe the relationship between two forces or vectors that, while opposing, can enhance overall outcomes.
(Оппозиция, которая усиливает — фраза, описывающая взаимосвязь между двумя силами или векторами, которые, хотя и противоположны, могут улучшить общий результат.)
"Bitter rivals" - Often used to describe two parties in opposition to each other, analogous to antiparallel vectors having opposing directions.
(Ярые соперники — часто используется для описания двух сторон, находящихся в оппозиции друг к другу, аналогично антипараллельным векторам с противоположными направлениями.)
The term "antiparallel" combines the prefix "anti-", meaning "against" or "opposite," with "parallel," which comes from the Latin "parallelus," meaning "beside one another" or "equally distant." The term "vector" originates from the Latin word "vector," meaning "to carry," indicating its nature as a quantity that has both magnitude and direction.
This comprehensive overview provides insights into the term "antiparallel vectors," including its meaning, usage, examples, etymology, and related expressions in the English language.