Exercise

# The Algebra of Vectors

Vectors can be made to make new vectors much in the same way that numbers can.

To add two vectors together in R, simply use the `+`

command.

Vectors can also be scaled via multiplication by a real number (or scalar), using the `*`

command.

Multiplication of two vectors is a trickier topic theoretically, but in R, component-wise multiplication of two vectors is legal and accomplished using the `*`

command.

The vectors `x`

, `y`

, and `z`

have been loaded for you.

Instructions

**100 XP**

Add the vector

`x`

to the vector`y`

and print the result.Multiply the vector

`z`

by the scalar`2`

.Multiply the vectors

`x`

and`y`

to each other, component-wise, and print the result.Try to add the vector

`x`

to the vector`z`

. What happens?