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- Vector_projection abstract "The vector projection of a vector a on (or onto) a nonzero vector b (also known as the vector component or vector resolute of a in the direction of b) is the orthogonal projection of a onto a straight line parallel to b. It is a vector parallel to b, defined aswhere ɑ1 is a scalar, called the scalar projection of a onto b, and is the unit vector in the direction of b.In turn, the scalar projection is defined aswhere the operator · denotes a dot product, |a| is the length of a, and θ is the angle between a and b. The scalar projection is equal to the length of the vector projection, with a minus sign if the direction of the projection is opposite to the direction of b.The vector component or vector resolute of a perpendicular to b, sometimes also called the vector rejection of a from b,is the orthogonal projection of a onto the plane (or, in general, hyperplane) orthogonal to b. Both the projection a1 and rejection a2 of a vector a are vectors, and their sum is equal to a, which implies that the rejection is given by".
- Vector_projection thumbnail Projection_and_rejection.png?width=300.
- Vector_projection wikiPageExternalLink index.htm.
- Vector_projection wikiPageID "1508507".
- Vector_projection wikiPageRevisionID "604370046".
- Vector_projection hasPhotoCollection Vector_projection.
- Vector_projection subject Category:Functions_and_mappings.
- Vector_projection subject Category:Linear_algebra.
- Vector_projection subject Category:Transformation_(function).
- Vector_projection subject Category:Vectors.
- Vector_projection type Abstraction100002137.
- Vector_projection type Cognition100023271.
- Vector_projection type Concept105835747.
- Vector_projection type Content105809192.
- Vector_projection type Idea105833840.
- Vector_projection type PsychologicalFeature100023100.
- Vector_projection type Quantity105855125.
- Vector_projection type Variable105857459.
- Vector_projection type Vector105864577.
- Vector_projection type Vectors.
- Vector_projection comment "The vector projection of a vector a on (or onto) a nonzero vector b (also known as the vector component or vector resolute of a in the direction of b) is the orthogonal projection of a onto a straight line parallel to b.".
- Vector_projection label "Projeção de um vetor".
- Vector_projection label "Vector projection".
- Vector_projection label "Vectorprojectie".
- Vector_projection sameAs Vectorprojectie.
- Vector_projection sameAs Projeção_de_um_vetor.
- Vector_projection sameAs m.056sm1.
- Vector_projection sameAs Q2734388.
- Vector_projection sameAs Q2734388.
- Vector_projection sameAs Vector_projection.
- Vector_projection wasDerivedFrom Vector_projection?oldid=604370046.
- Vector_projection depiction Projection_and_rejection.png.
- Vector_projection isPrimaryTopicOf Vector_projection.
