18e3637f3c
git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@7827 f3b2605a-c512-4ea7-a41b-209d697bcdaa
18 lines
653 B
TeX
18 lines
653 B
TeX
\documentclass[12pt]{article}
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\begin{document}
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\begin{eqnarray*}
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\vec{a} &=& (a_x,0,0) \\
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\vec{b} &=& (b_x,b_y,0) \\
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\vec{c} &=& (c_x,c_y,c_z) \\
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a_x &=& A \\
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b_x &=& (\vec{B} \bullet \vec{A}) \,\, / \,\, A \\
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b_y &=& |\vec{A} \times \vec{B}| \,\, / \,\, A \quad \rm{or} \quad \sqrt{B^2 - {b_x}^2} \\
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c_x &=& (\vec{C} \bullet \vec{A}) \,\, / \,\, A \\
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c_y &=& [\vec{C} \bullet ((\vec{A} \times \vec{B}) \times \vec{A})] \,\, / \,\, |(\vec{A} \times \vec{B}) \times \vec{A}| \quad \rm{or} \quad \sqrt{C^2 - {c_x}^2 -{c_z}^2} \\
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c_z &=& [\vec{C} \bullet (\vec{A} \times \vec{B})] \,\, / \,\, |\vec{A} \times \vec{B}| \\
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\end{eqnarray*}
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\end{document}
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