As we talked about in class, one common way to measure the distance between two numbers \(a\) and \(b\) is to compute

\[ distance = (a-b)^2 \]

For this code challenge, you need to write a function that

Takes in two

**vectors**of numbers (the vectors will have the same number of elements in them)Computes the distance between corresponding elements in each vector (i.e., the distance between the first element in the the first vector and the first element in the second vector, etc.)

Returns the

**average**distance between corresponding elements in each vector.

**Rules:**

- You cannot load any external packages, but any base R functions are allowed

**To win**

You must email me your function brantly.callaway@uga.edu

I’ll call the function on two vectors of numbers. If it computes the correct average distance between two vectors, then you win.

Solution below…

```
mean_distance <- function(x,y) {
distance <- (x-y)^2
mean(distance)
}
mean_distance(c(10,3,5), c(0.1,3,0))
```

`## [1] 41.00333`