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Math Help - curl

  1. #1
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    curl

    Find curl(a X f )
    a=a(sub1) i + a(sub2) j +a(sub3) k
    f=x i + y j +z k
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  2. #2
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    If memory serves then

     <br />
\left| \begin{array}{ccc}<br />
i & j & k \\<br />
a_1 & a_2 & a_3 \\<br />
x & y & z \end{array} \right|= i(a_2z-a_3y)-j(a_1z-a_3x)+k(a_1y-a_2x)
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  3. #3
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    Quote Originally Posted by pickslides View Post
    If memory serves then

     <br />
\left| \begin{array}{ccc}<br />
i & j & k \\<br />
a_1 & a_2 & a_3 \\<br />
x & y & z \end{array} \right|= i(a_2z-a_3y)-j(a_1z-a_3x)+k(a_1y-a_2x)
    That is a\times f. scubasteve123 still needs to take the curl.

    But it is far simpler to recognise that, because a is a constant vector,
    \nabla\times (a\times f)= a\times (\nabla\times f).
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