Coincident
Encyclopedia
Coincident is a geometric
term that pertains to the relationship between two vectors. Vectors consist of a "magnitude" and a "direction". Vectors can be said to be coincident when their direction is the same though the magnitude may be different; that is to say, they lie one on top of the other. If two coincident vectors were to be normalized (shortened or lengthened to be one unit long), the resulting vectors would be identical. The dot product
of two coincident vectors is the product of their magnitudes. The cross product
of two coincident vectors is a vector of all zeros.
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
term that pertains to the relationship between two vectors. Vectors consist of a "magnitude" and a "direction". Vectors can be said to be coincident when their direction is the same though the magnitude may be different; that is to say, they lie one on top of the other. If two coincident vectors were to be normalized (shortened or lengthened to be one unit long), the resulting vectors would be identical. The dot product
Dot product
In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers and returns a single number obtained by multiplying corresponding entries and then summing those products...
of two coincident vectors is the product of their magnitudes. The cross product
Cross product
In mathematics, the cross product, vector product, or Gibbs vector product is a binary operation on two vectors in three-dimensional space. It results in a vector which is perpendicular to both of the vectors being multiplied and normal to the plane containing them...
of two coincident vectors is a vector of all zeros.