If a is to b as c is to d, a x d = b x c.
The product of the means (b & c) equals the product of the extremes (a & d).
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cross product method is multiplying the numerator of the first factor to the denominator of the second factor and multiplying the denominator to the numerator of the second factor.
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The cross product can be said to be a measure of the 'perpendicularity' of the vectors in the product. Please see the link.
Normally you use sine theta with the cross product and cos theta with the vector product, so that the cross product of parallel vectors is zero while the dot product of vectors at right angles is zero.
Cross product is a mathematics term when there is a binary operation on two vectors in three-dimensional space.