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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 (experimental; uses 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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SVG (0 B / 8 B) :


SVG (MathML can be enabled via browser plugin) rendering

MathML (2.847 KB / 643 B) :

F L → = q v → × B → = q v B sin ⁡ ( ∢ ( v , B ) ) , ⇒ ( F L = q v B ) ⇔ v → ⊥ B → {\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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    <annotation encoding="application/x-tex">{\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}}}</annotation>
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{\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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