Category:Definitions/Vector Triple Product

From ProofWiki
Jump to navigation Jump to search

This category contains definitions related to Vector Triple Product.
Related results can be found in Category:Vector Triple Product.


Let $\mathbf a$, $\mathbf b$ and $\mathbf c$ be vectors in a Cartesian $3$-space:

\(\ds \mathbf a\) \(=\) \(\ds a_i \mathbf i + a_j \mathbf j + a_k \mathbf k\)
\(\ds \mathbf b\) \(=\) \(\ds b_i \mathbf i + b_j \mathbf j + b_k \mathbf k\)
\(\ds \mathbf c\) \(=\) \(\ds c_i \mathbf i + c_j \mathbf j + c_k \mathbf k\)

where $\tuple {\mathbf i, \mathbf j, \mathbf k}$ is the standard ordered basis of $\mathbf V$.


The vector triple product is defined as:

$\mathbf a \times \paren {\mathbf b \times \mathbf c}$

where $\times$ denotes the vector cross product.

Pages in category "Definitions/Vector Triple Product"

The following 2 pages are in this category, out of 2 total.