13. Inner Products and Orthogonality

Building Orthonormal Bases — Quiz

Test your understanding of building orthonormal bases with 5 practice questions.

Practice Questions

Question 1

What is true of every vector in an orthonormal basis?

Question 2

What is the unit vector in the same direction as $v = (3,4)$?

Question 3

If $u$ and $v$ are distinct vectors in an orthonormal set, what is $u \cdot v$?

Question 4

How many vectors in $\mathbb{R}^3$ are needed for a set of orthonormal vectors to be an orthonormal basis for $\mathbb{R}^3$?

Question 5

What is the first step in turning a nonzero vector into a unit vector?