Vector product
From Encyclopedia of Mathematics
of a vector 
by a vector 
in 
The vector 
, denoted by the symbol 
or 
, satisfying the following requirements:
1) the length of 
is equal to the product of the lengths of the vectors 
and 
by the sine of the angle 
between them, i.e.
 |
2) 
is orthogonal to both 
and 
;
3) the orientation of the vector triple 
is the same as that of the (standard) triple of basis vectors. See Vector algebra.
Comments
If 
have coordinates 
and 
with respect to an orthonormal basis in 
, then the coordinates of 
are 
.
How to Cite This Entry:
Vector product. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Vector_product&oldid=38894
Vector product. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Vector_product&oldid=38894
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article