6. Vectors in Euclidean Space

Orthogonality — Quiz

Test your understanding of orthogonality with 5 practice questions.

Practice Questions

Question 1

What does it mean for two vectors in Euclidean space to be orthogonal?

Question 2

Are the vectors $\langle 1,2 \rangle$ and $\langle 2,-1 \rangle$ orthogonal?

Question 3

What value of $x$ makes the vectors $\langle 3,4 \rangle$ and $\langle x,6 \rangle$ orthogonal?

Question 4

In Euclidean space, what angle do two nonzero orthogonal vectors form?

Question 5

Which vector is orthogonal to $\langle 2,1,0 \rangle$?