3. Geometry and Trigonometry

The Scalar Product — Quiz

Test your understanding of the scalar product with 5 practice questions.

Practice Questions

Question 1

What does the scalar product of two vectors measure directly?

Question 2

If $\mathbf{a}\cdot\mathbf{b}=0$ and both vectors are non-zero, what is the angle between them?

Question 3

What is the scalar product of $\mathbf{a}=(1,2)$ and $\mathbf{b}=(3,4)$?

Question 4

Which formula gives the scalar product of $\mathbf{a}=(a_1,a_2,a_3)$ and $\mathbf{b}=(b_1,b_2,b_3)$?

Question 5

If $\mathbf{a}\cdot\mathbf{b}>0$, what can be said about the angle between the two non-zero vectors?