Category:Dot Product of Vector Cross Products
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This category contains pages concerning Dot Product of Vector Cross Products:
Let $\mathbf a, \mathbf b, \mathbf c, \mathbf d$ be vectors in a vector space $\mathbf V$ of $3$ dimensions.
Let $\mathbf a \times \mathbf b$ denote the vector cross product of $\mathbf a$ with $\mathbf b$.
Let $\mathbf a \cdot \mathbf b$ denote the dot product of $\mathbf a$ with $\mathbf b$.
Then:
- $\paren {\mathbf a \times \mathbf b} \cdot \paren {\mathbf c \times \mathbf d} = \paren {\mathbf a \cdot \mathbf c} \paren {\mathbf b \cdot \mathbf d} - \paren {\mathbf a \cdot \mathbf d} \paren {\mathbf b \cdot \mathbf c}$
Pages in category "Dot Product of Vector Cross Products"
The following 3 pages are in this category, out of 3 total.