ELI5: Explain Like I'm 5

Crossed product

Okay kiddo, imagine you have two things: a toy car and a ball. They're different shapes, right? Well, in math we sometimes have two different types of things too. And when we want to put them together, we use something called a "crossed product."

Let's say we have some numbers, like this: (1, 2, 3) and (4, 5, 6). These are called vectors, which are just fancy words for arrows pointing in different directions. When we take the crossed product of these two vectors, we get a new vector that's perpendicular to both of them.

Think of it like putting the toy car and the ball together. We get something new that's a little bit of both, but also something different. And just like how we can use the toy car and the ball to play different games, we can use the new vector we made with the crossed product for different things in math.

Now, this might start to sound a little confusing, but just remember that the crossed product is a way to combine different types of things in math to get something new and useful.
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