Exam tip from an AP Physics veteran:
Even though the vector formulas in the box are not on the equations sheet, they are very important to
memorize. You will use them in countless problems. Chances are, you will use them so much that you’ll
have memorized them way before the AP exam.
—Jamie, high school senior
Adding Vectors
Let’s take two vectors, Q and Z , as shown in Figure 9.3a .
Figure 9.3a Two vectors.
Now, in Figure 9.3b , we place them on a coordinate plane. We will move them around so that they line
up head-to-tail.
Figure 9.3b Vectors on a coordinate plane.
If you place your finger at the origin and follow the arrows, you will end up at the head of vector Z . The
vector sum of Q and Z is the vector that starts at the origin and ends at the head of vector Z . This is
shown in Figure 9.3c .
Figure 9.3c Adding vectors.