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.
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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=13392
Vector product. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Vector_product&oldid=13392
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article