1. Vectors and Geometry

Vector Basics — Quiz

Test your understanding of vector basics with 5 practice questions.

Practice Questions

Question 1

What is the magnitude of the vector $\mathbf{v} = \langle 3, 4 \rangle$?

Question 2

If $\mathbf{u} = \langle 2, -1 \rangle$ and $\mathbf{v} = \langle -3, 4 \rangle$, what is $\mathbf{u} + \mathbf{v}$?

Question 3

What is the result of the scalar multiplication $3 \cdot \langle 1, -2 \rangle$?

Question 4

Which of the following vectors has a magnitude of $10$?

Question 5

If $\mathbf{a} = \langle 4, 3 \rangle$ and $\mathbf{b} = \langle -4, -3 \rangle$, what is $\mathbf{a} + \mathbf{b}$?