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Cross product

  1. Oct 9, 2008 #1
    I have a question about solving a problem involving a cross product. I understand how to find [tex]\vec{a}[/tex] X [tex]\vec{b}[/tex] = [tex]\vec{c}[/tex], but if [tex]\vec{a}[/tex] and [tex]\vec{c}[/tex] are given how do I find [tex]\vec{b}[/tex]? Is there something I can do analogous to c/a =b? I've been reviewing my old calc III and linear algebra notes, but I havn't been able to figure it out. Any help would be most appreciated.

  2. jcsd
  3. Oct 9, 2008 #2

    Ben Niehoff

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    Given a and c, there are several possible vectors b such that a x b = c. They all lie in the plane perpendicular to c.
  4. Oct 10, 2008 #3
    do you know how to find a vector that is perpendicular to another vector?
  5. Oct 19, 2008 #4
    a x c = b

    since b is a vector that is perpendicular to both a and c .. :-D
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