ELI5: Explain Like I'm 5

Euclidean vector

A vector is like an arrow, it has two important things - length and direction. Imagine a big arrow that starts at one point and goes to another point. That arrow is a vector! Now, a Euclidean vector is a fancy way of saying that this arrow is in a flat space, like a piece of paper.

You can think of Euclidean vectors as giving directions from one point to another, like a map. For example, if you want to go from your house to your friend's house, you need to know which direction to take. That direction is like a Euclidean vector.

Euclidean vectors are really helpful in math and science because they let us represent all kinds of things as arrows with length and direction. We can use them in physics to describe things like forces and velocity, and in geometry to study shapes and angles.

So, now you know that Euclidean vectors are just fancy arrows that help us navigate in flat spaces like a map. Pretty cool, huh?