Workshop 2B: Vectors

Today, we look at a tool even more useful (perhaps) to physicists than graphs: vectors.

First, we need to discuss that basic mathematical properties of vectors. What are they, and how do they work? In particular, how can we ADD and SUBTRACT vectors?

• Properties of vectors

Our next exercise will involve some arithmetic with vector quantities -- but these vectors have uncertainties. If we add two measurements, what is the uncertainty in the result?

• A very brief guide to arithmetic with uncertainties
• A more detailed discussion of arithmetic with uncertainties , which includes a few worked examples.
• Prof. Lindberg's guide to Uncertainties and Error Propagation

Put your new knowledge to the test.

• Joe climbs the glacier -- or does he?

Our final exercise today involves both vectors AND uncertainties.

• Vectors, magnitudes, and uncertainties -- pirate-style
  • Not sure how to compute uncertainties in the magnitude of a vector if you know uncertainties in the components? Maybe you should check out a worked example.

Copyright © Michael Richmond. This work is licensed under a Creative Commons License.