Co-planar vectors
From Encyclopedia of Mathematics
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
Vectors that are parallel to one plane. A necessary and sufficient condition for the co-planarity of three vectors
$$ \mathbf a _ {1} = \{ x _ {1} , y _ {1} , z _ {1} \} ,\ \ \mathbf a _ {2} = \{ x _ {2} , y _ {2} , z _ {2} \} ,\ \ \mathbf a _ {3} = \{ x _ {3} , y _ {3} , z _ {3} \} $$
is the equation
$$ \left | \begin{array}{lll} x _ {1} &y _ {1} &z _ {1} \\ x _ {2} &y _ {2} &z _ {2} \\ x _ {3} &y _ {3} &z _ {3} \\ \end{array} \right | = 0. $$
How to Cite This Entry:
Co-planar vectors. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Co-planar_vectors&oldid=46370
Co-planar vectors. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Co-planar_vectors&oldid=46370