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Translations for „cross product“ in the English » Arabic Dictionary (Go to Arabic » English)

Monolingual examples (not verified by PONS Editors)

English
Thus, about forty years after the quaternion product, the dot product and cross product were introducedto heated opposition.
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Here the primes denote the derivatives with respect to "t" and the cross denotes the cross product.
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The definitions of torque and angular momentum also involve the cross product.
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The cross product diagram has an output vector, represented by the free strand at the top of the diagram.
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Note that the statements above constitute a total of 6 conditions (the cross product contains 3), leaving the rotation matrix with just 3 degrees of freedom as required.
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Note that because of the presence of the cross product, the above formulas only work for surfaces embedded in three-dimensional space.
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The cross product and triple product in three dimensions each admit both geometric and algebraic interpretations.
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This bivector describes the plane perpendicular to what the cross product of the vectors would return.
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For instance, the above given cross product relations among i, j, and k agree with the multiplicative relations among the quaternions "i", "j", and "k".
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This leads to widespread use in physics, wherever the cross product occurs.
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