In a problem dealing with ratios, the cross produces are the product of the means, and the product of the extremes. These products are eauakl ro each other.
Ratios can be written different ways. a:b :: c:d
the means are the ones closest together (in the middle) their product is bc
the extremes are ones fartherest apart (rt and left ends) their product is ad
so .... bc = ad
Ratios can also be written as fractions.
a / b = c / d
so bc = ad (same thing)
Ex: if 3/x = 21/9 solve by using cross products
21x = 3(9)
21x = 27
x = 27 / 21
x = 1 and 2/7 or in decimal form 1.286 (rounded)
There is also a cross product of vectors if you are studying them.
If 2 vectors, a and b, are acting at some angle C to each other then their cross product is
a x b = a b sin C , where a is the magnitude of vector a, similarly for b
a x b is read as the cross product of vectors a and b, or just shortened to a cross b
The ratios are not equal.
The cross product is created.
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cross multiply and divide or cross products
They are other proportions.
Yes, they are.
Their cross products are equal.
They're equal
The fractions are proportional and their cross products are equal
in mathematics the cross products are the binary operation on two vectors in a 3dimensional Euclidean space that results in another vector which is perpendicular to the containing the 2 inputs vector.
Cross Products