Using Rstudio

## Read directions carefully

## Please complete all three problems

## If you exceeded the one line requirement (question 1 and 2) but complete the code successfully, you will only earn half of the points.

## Problem 1. (1 points)

## Using the vector x below, express the Euclidean norm of x.

## Recall that the Euclidean norm of a vector v =

## is the square root of the sum of the squares of it's terms, i.e

## sqrt(v1^2 + v2^2 + ... + vn^2)

## Complete the problem using one line only.

x <- c(4,2,8,6,4,9,2,4,1,6,4)

## BEGIN YOUR CODE HERE ##

## END YOUR CODE HERE ##

## Problem 2.(2 points)

## Using the vector x below, divide every element in

## an even index by two, without modifying the elements in odd indices.

## Complete the problem using one line only.

## If you exceeded the one line requirement but complete the code successfully, you will only earn half of the points.

## Hint you do not need a loop. This will work with a multiplication.

x <- 1:10

## BEGIN YOUR CODE HERE ##

## END YOUR CODE HERE ##

## ------------------------------------------------------------------------

##Problem 3 (2 points)

##Repeat problem 2 but make your one line general enough that it works regardless of vector length.

##Hint you may want to use an 'if' and 'else' and note they can still be in one line.

x <- 1:10

##Begin your code here

##End your code here

x

x <- 1:13

##Insert your same code here

##End your code here

x

## Please submit your R code and a screenshot of Your Code