Question

Give an example of a situation where finding the cross product of two sets is useful and explain why it is useful. Your example should include two sets and their cross product.

Answer 1

if you are talking bout vectors then finding cross product will be helpful when you gotta find the direction of something , coming outta product of two, for example, the cross product of electric current and magnetic field will give you the direction of force :)

Answer 2

say you have 15 shirts(set1), and 10 different pairs of pants(set2), and you want to see what every different combination would look like. Then you could take the cross product of those two sets and that would be every possible combination.

Answer 3

umm i think thats the combinatorics and i think he's asking bout vector not sure tho

Answer 4

hes asking about the cross product of two sets

Answer 5

when we are talking about sets, then the cross product of two sets is every possible combination

example
A = {1,2}
B = {3,4}
A X B = {{1,3},{1,4},{2,3},{2,4}}

Answer 6

understand @itsmylife ?

Answer 7

well it depends how you take the cross product so if i take it as vectors then i dont think your example is suitable

Answer 8

google cross product and sets:)

Answer 9

I'm fairly sure they didn't mean vectors. This has got to be the first time I've heard it called cross product though... Isn't the usual term "Cartesian product"?

Answer 10

yes but we call it cross product

Answer 11

its clear from context, such as this question asking about sets.

Answer 12

erin i guess if you have studied vectors then you must be familiar with cross and dot products ;) but alright i agree

Answer 13

Yes, I am familiar with cross and dot (and direct!) products of vectors :) It is pretty clear what "cross product of sets" means, though it is the first time I've heard the term.

Answer 14

yes we know what the inner product(dot product) and outer product(cross product) are in vector language. This is not the same thing.

in math we use the same terms over and over. especially for operators.

like word "add" does not always mean add like we think it does. we may define the word add to be some other operator....

we simply run out of names:)

Answer 15

Thanks for giving examples :3 I understand it now.