1. Geometry and Vectors in Space

Vectors, Dot Product, Cross Product — Quiz

Test your understanding of vectors, dot product, cross product with 5 practice questions.

Practice Questions

Question 1

What is the vector from $A(1,2,3)$ to $B(4,6,5)$?

Question 2

Compute the dot product of $\langle 1,2,3\rangle$ and $\langle 4,-1,2\rangle$.

Question 3

If two nonzero vectors have dot product $0$, what is true about them?

Question 4

What is the magnitude of $\langle 3,4,12\rangle$?

Question 5

What is the cross product $\langle 1,0,0\rangle \times \langle 0,1,0\rangle$?