Visual meaning of 'orthogonal'? - learn with images, example in daily life

Visual illustration of orthogonal: An orthogonal line

noun

An orthogonal line

"The orthogonal to the wall supported the bookshelf. "

Visual illustration of orthogonal: Of two objects, at right angles; perpendicular to each other.

adjective

Of two objects, at right angles; perpendicular to each other.

"A chord and the radius that bisects it are orthogonal."

math physics technical structure

Visual illustration of orthogonal: Of a pair of vectors: having a zero inner product; perpendicular.

adjective

Of a pair of vectors: having a zero inner product; perpendicular.

"The normal vector and tangent vector at a given point are orthogonal."

math technical physics

Visual illustration of orthogonal: Of a square matrix: such that its transpose is equal to its inverse.

adjective

Of a square matrix: such that its transpose is equal to its inverse.

""Because the rotation matrix used to adjust the building's orientation on the architect's model is orthogonal, we know its inverse is easy to calculate, simplifying the 3D modeling process." "

Visual illustration of orthogonal: Of a linear transformation: preserving its angles.

adjective

Of a linear transformation: preserving its angles.

"The architect used an orthogonal projection in the blueprint to ensure that the angles of the building's corners were accurately represented, even though the drawing was in two dimensions. "

math technical science physics

Visual illustration of orthogonal: Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.

adjective

Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.

"In this simple maze, you can only move orthogonally, meaning you can go straight up, down, left, or right, but not diagonally. "

math game technical

Visual illustration of orthogonal: Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.

adjective

Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.

"The student's study habits and social life were orthogonal; each activity did not impede the other. "

math logic science system technical

Visual illustration of orthogonal: Statistically independent, with reference to variates.

adjective

Statistically independent, with reference to variates.

""In the study, height and reading ability were shown to be orthogonal; knowing someone's height gave no information about their reading skills." "

statistics math science

Visual illustration of orthogonal: Of two or more aspects of a problem, able to be treated separately.

adjective

Of two or more aspects of a problem, able to be treated separately.

"The content of the message should be orthogonal to the means of its delivery."

aspect math technical science

Visual illustration of orthogonal: Of two or more problems or subjects, independent of or irrelevant to each other.

adjective

Of two or more problems or subjects, independent of or irrelevant to each other.

""My preference for chocolate ice cream is orthogonal to my sister's ability to solve math problems; one has no effect on the other." "

theory science math technical