13. Inner Products and Orthogonality

Using Projection Formulas Correctly — Quiz

Test your understanding of using projection formulas correctly with 5 practice questions.

Practice Questions

Question 1

What is the projection of $a=\langle 3,4\rangle$ onto $b=\langle 1,0\rangle$?

Question 2

What is the projection of $a=\langle 2,2\rangle$ onto $b=\langle 1,1\rangle$?

Question 3

If $a$ and $b$ are nonzero vectors with $a\cdot b=0$, what is $\operatorname{proj}_b a$?

Question 4

What is always true about the vector $a-\operatorname{proj}_b a$?

Question 5

What is the projection of $a=\langle 1,2\rangle$ onto $b=\langle 2,0\rangle$?