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Mathematics-Online lexicon:

Vector Product

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The vector

$\displaystyle \vec{c} = \vec{a} \times \vec{b}

is orthogonal to $ \vec{a}$ and $ \vec{b}$. It is oriented by the ,,Right-Hand-Rule`` and has the length

$\displaystyle \bigl\vert\vec{c}\bigr\vert =


Alternatively, we have

a_2 b_3 - a_...
..._3 b_1 - a_1 b_3 \\
a_1 b_2 - a_2 b_1


[Examples] [Links]

  automatically generated 3/17/2011