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?

Take Hint (-30 XP)