1. Vectors and Geometry

Vector Basics — Quiz

Test your understanding of vector basics with 5 practice questions.

Practice Questions

Question 1

What is the definition of a vector in the context of calculus?

Question 2

If a vector $\mathbf{v} = \langle 3, 4 \rangle$, what is the magnitude of this vector?

Question 3

What is the result of adding the vectors $\mathbf{a} = \langle 1, 2 \rangle$ and $\mathbf{b} = \langle 3, -1 \rangle$?

Question 4

If a vector $\mathbf{u} = \langle -2, 5 \rangle$ is multiplied by the scalar $3$, what is the resulting vector?

Question 5

Which of the following represents the zero vector?