Otro
Cross product of vectors
Autor
Blinder, S. M.
Blinder, Amy
Resumen
Vectors, cross product, dot product This Demonstration computes and displays the cross product w = uXv (black) of two vectors u(red) and v(blue) in three dimensions. The dot product u.v of the vectors is a scalar (number), while the cross product uXv is a vector.
The cross product can be defined in several equivalent ways.
Geometrically: (1) The length of the vector w = uXv is given by /w/ = /u/ /v/sin(teta), where teta is the angle between u and v. (The length is equal to the area of the parallelogram spanned by the vectors u and v.) (2) The direction of w, when teta different of zero, is perpendicular to both u and v, oriented in the sense that u,v,w form a right-handed system.
Algebraically: In Cartesian coordinates, the components of the cross product can be read off a 3X3determinant Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática