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Lorentz Force Equation

  1. Aug 27, 2009 #1
    [tex] \textbf{L} \ = \ q\left( \textbf{v \ x \ B} \right) [/tex]

    L, v, and B are vectors, and B represents magnetic induction.

    if [tex] \textbf{v} \ = \widehat{x}, [/tex]
    then [tex] \textbf{v x B} = \widehat{x} \ \textbf{x B}[/tex]

    What is this quantity, [tex] \widehat{x} \ \textbf{x B}[/tex], geometrically?
  2. jcsd
  3. Aug 27, 2009 #2


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    Gold Member

    A vector orthogonal to both x and B whose magnitude corresponds to the amount of angle needed to rotate B into the x direction times the magnitude of B itself.
    The magnitude is also the area of a rhombus framed by the vectors.
  4. Aug 27, 2009 #3
    Can I find B if I know

    [tex]\widehat{x} \textbf{ x B} [/tex]

    [tex]\widehat{y} \textbf{ x B} [/tex]

    [tex]\widehat{z} \textbf{ x B} [/tex] ?
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