define vector product
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the product of two real vectors in three dimensions which is itself a vector at right angles to both the original vectors. Its magnitude is the product of the magnitudes of the original vectors and the sine of the angle between their directions.
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Explanation:
a vector c whose length is the product of the lengths of two vectors a and b and the sine of their included angle, whose direction is perpendicular to their plane, and whose direction is that in which a right-handed screw rotated from a toward b along axis c would move.
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