Visualizing Vector fields Ch.3 Vectors Visualizing Vector fields

2-D Vectors Latitude + Longitude gives location

3-D Vectors Latitude + Longitude + Altitude more precise

To go from A to B Need Origin (Charlottesville), Magnitude (70.12 miles), Direction (bear SouthEast)

To go from A to B 2D Map

To go from A to B Decomposing a vector OR Adding several vectors

Adding Vectors Lay them out head-to-tail

Parallelogram law of Addition A + B B B A Head to tail: Connect first head and last tail (problem: no common reference, so need to wait!) Tail to tail: Connect diagonal of parallelogram (problem: still only do 2 at a time) Best: Decompose vectors and add components (Later)