 
Summary: Practice Problems For Final Math 5B
Reminders about the final exam
· The final will be on Thursday, March 17 from 811am in your regular classroom
· Bring a photo ID to the exam
· There are NO calculators allowed
· You are allowed a 4 × 6 notecard with whatever you want written on both sides
· The final is worth 50% of your grade
· The final is cumulative (Chapters 1  7.4)
Diclaimer: The following problems and formulas are based on what I believe to be important,
which may or may not coincide with what will be covered on your final exam. This document should
in no way replace careful studying of your notes, previous midterms, homework, study guides, and
the textbook.
Chapter 1: Vectors, Matrices, and Applications
Formulas and Equations
One way to paramaterize a line that runs through the point p in the direction of v is:
p + t(v), t R
If is the angle between the vectors v and w then:
v · w = v w cos()
The vector projection of b onto a is:
proja(b) =
