**Virtual Activity: Working with Vectors**

The lab report for this activity should include:

1. The title of the lab activity

2. The date the lab activity was performed

3. The goal(s) of the lab activity

4. A description of the lab activity (procedures and sketches in this case)

5. Data collected in the lab activity

6. Analysis of data (the calculations in this case)

7. Conclusion(s) (Did you achieve your goal(s)...why or why not?)

There is no error analysis in this lab.

In this activity you will practice adding vectors together using the simulation shown on the bottom of this page. Read through these instructions and then work on the two problems.

**Instructions**

Check the show grid box.

Drag a vector from the bin.

Choose "style 1" in the component display box.

Change the size and orientation of the vector by moving its tip to various locations.

Drag a second vector out of the bin.

Click the "Show Sum" box to see the addition of the vectors.

Please note that the angle is measured from the + x axis and that an angle of -90° is equivalent to an angle of 270° and so forth.

Problem 1: In your lab notebook, calculate the sum of the following three vectors:

Vector **A**: magnitude = 9.4, angle = 32.0°

Vector **B**: magnitude = 13.9, angle = 59.7°

Vector **C**: magnitude = 15.0, angle = -143.1°

Now use the simulation to connect these vectors head to tail. Click the show sum box and compare your answer to that given in the simulation. You should slide the resultant vector into the space from the tail of vector **A** to the head of vector **C**.

Problem 2: In your lab notebook, calculate the sum of the following three vectors:

Vector **D**: magnitude = 17.1, angle = 159.4°

Vector **E**: magnitude = 6.4, angle = -51.3°

Vector **F**: magnitude = 12.0, angle = 4.8°

Now use the simulation to connect these vectors head to tail. Click the show sum box and compare your answer to that given in the simulation. You should slide the resultant vector into the space from the tail of vector **D** to the head of vector **F**.

Play around a bit! Have fun!