Orthogonal

C2 16+

Pronunciation: /ɔrˈθɑɡənəl/

Definitions of orthogonal

noun a linear transformation that preserves the dot product of vectors

Example Sentences

A1 I learned about orthogonal lines in my math class.

A2 The concept of orthogonal vectors was introduced in the physics lecture.

B1 The engineer used orthogonal projections to design the building layout.

B2 The architect ensured that the walls were orthogonal to each other for structural stability.

C1 The mathematician's research focused on the properties of orthogonal matrices.

C2 The computer scientist implemented an algorithm using orthogonal transformations for data analysis.

adjective relating to or involving right angles; perpendicular

Example Sentences

A1 The two lines are perpendicular, which means they are orthogonal to each other.

A2 In geometry, orthogonal vectors are those that meet at right angles.

B1 The software engineer explained that the code needed to be orthogonal to prevent conflicts.

B2 The architect designed the building with orthogonal lines to create a modern and sleek look.

C1 The mathematician presented a complex theorem involving orthogonal matrices.

C2 The physicist conducted experiments to study the behavior of orthogonal components in the system.

Examples of orthogonal in a Sentence

formal In mathematics, two vectors are orthogonal if their dot product is zero.

informal The two lines are orthogonal to each other, meaning they intersect at right angles.

slang I don't get why they're making us learn about orthogonal matrices in class.

figurative His views on politics are completely orthogonal to mine, we never seem to agree on anything.

Grammatical Forms of orthogonal

past tense

orthogonalized

plural

orthogonals

comparative

more orthogonal

superlative

most orthogonal

present tense

orthogonalizes

future tense

will orthogonalize

perfect tense

has orthogonalized

continuous tense

is orthogonalizing

singular

orthogonal

positive degree

orthogonal

infinitive

to orthogonalize

gerund

orthogonalizing

participle

orthogonalized

Origin and Evolution of orthogonal

First Known Use: 1696 year
Language of Origin: Greek
Story behind the word: The word 'orthogonal' originated from the Greek words 'orthos' meaning 'right' or 'correct' and 'gonia' meaning 'angle'.
Evolution of the word: Originally used in mathematics to describe perpendicular or right angles, the term 'orthogonal' has since evolved to be used in various fields such as physics, computer science, and engineering to describe objects or concepts that are independent or unrelated to each other.