## Read directions carefully - USING THE PROGRAMMING LANGUAGE R AND R STUDIO

## 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