Category:Square of Vector Cross Product
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This category contains pages concerning Square of Vector Cross Product:
Let $\mathbf a$ and $\mathbf b$ 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 $\mathbf b$.
Then:
- $\paren {\mathbf a \times \mathbf b}^2 = \mathbf a^2 \mathbf b^2 - \paren {\mathbf a \cdot \mathbf b}^2$
where:
- $\paren {\mathbf a \times \mathbf b}^2$ denotes the square of $\mathbf a \times \mathbf b$
- $\mathbf a \cdot \mathbf b$ denotes the dot product of $\mathbf a \times \mathbf b$.
Pages in category "Square of Vector Cross Product"
The following 3 pages are in this category, out of 3 total.