6. Vectors and Matrices

Cross Product — Quiz

Test your understanding of cross product with 5 practice questions.

Practice Questions

Question 1

Which rule is used to determine the direction of the resultant vector of a cross product?

Question 2

Given two vectors $\vec{A}$ and $\vec{B}$, the cross product $\vec{A} \times \vec{B}$ is perpendicular to which of the following?

Question 3

If $\vec{A} = \begin{pmatrix} 1 \\ 0 \\ 0 \end{pmatrix}$ and $\vec{B} = \begin{pmatrix} 0 \\ 1 \\ 0 \end{pmatrix}$, what is the cross product $\vec{A} \times \vec{B}$?

Question 4

What is the primary use of the cross product in geometry?

Question 5

If the angle $\theta$ between two vectors $\vec{A}$ and $\vec{B}$ is $90^\circ$, what is the relationship between the magnitude of their cross product and their individual magnitudes?