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\overrightarrow{{{F}_{L}}}=q\overrightarrow{v}\times \overrightarrow{B}=qvB\sin (\sphericalangle (v,B)),\quad \Rightarrow \left( {{F}_{L}}=qvB \right)\Leftrightarrow \overrightarrow{v}\bot \overrightarrow{B}

LaTeXML (experimentell; verwendet MathML) rendering

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F L = q v × B = q v B sin ( ( v , B ) ) , ( F L = q v B ) v B fragments subscript 𝐹 𝐿 q 𝑣 𝐵 q v B fragments ( fragments ( v , B ) ) , fragments ( subscript 𝐹 𝐿 q v B ) 𝑣 bottom 𝐵 {\displaystyle{\displaystyle\overrightarrow{{{F}_{L}}}=q\overrightarrow{v}% \times\overrightarrow{B}=qvB\sin(\sphericalangle(v,B)),\quad\Rightarrow\left({% {F}_{L}}=qvB\right)\Leftrightarrow\overrightarrow{v}\bot\overrightarrow{B}}}
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MathML (experimentell; keine Bilder) rendering

MathML (1.189 KB / 367 B) :

FL=qv×B=qvBsin((v,B)),(FL=qvB)vB
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