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Vector projection

The vector projection (also known as the vector component or vector resolution) of a vector a on (or onto) a non-zero vector b is the orthogonal projection of a onto a straight line parallel to b. The projection of a onto b is often written as proj b ⁡ a {\displaystyle \operatorname {proj} _{\mathbf {b} }\mathbf {a} } or a∥b.

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Overview

Definitions based on angle theta

Scalar projection

Matrix representation

Uses

Generalizations

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Map overview Semantic statistics

Vector projection

Nodes33
Edges32
Triples12
Avg. degree1.94
Density0.060606
Components1

How this topic connects Entity context

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Vector projection

Top relations

related to Uses · 4
Vector projection → Gram, It, Schmidt, The
related to Vector projection · 4
Vector projection → More, Namely, Similarly, The
related to Scalar projection · 3
Vector projection → It, More, The
is a · 1
Vector projection → important operation in the Gram

Important terminology Word statistics

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Important terminology

projection vector displaystyle mathbf rejection onto scalar product orthogonal operatorname plane angle cdot left right dot proj frac vectors hat

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Vector projectionis aimportant operation in the Gram0.90text
Vector projectionrelated to Scalar projectionThe0.60section
Vector projectionrelated to Scalar projectionIt0.60section
Vector projectionrelated to Scalar projectionMore0.60section
Vector projectionrelated to UsesThe0.60section
Vector projectionrelated to UsesGram0.60section
Vector projectionrelated to UsesSchmidt0.60section
Vector projectionrelated to UsesIt0.60section
Vector projectionrelated to Vector projectionThe0.60section
Vector projectionrelated to Vector projectionNamely0.60section
Vector projectionrelated to Vector projectionSimilarly0.60section
Vector projectionrelated to Vector projectionMore0.60section

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    Min side: 3
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