3.5 Unit Vectors A unit vector is a vector that has a magnitude of exactly 1 and points in a particular direction. Unit vectors in a right-handed coordinate.

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Presentation transcript:

3.5 Unit Vectors A unit vector is a vector that has a magnitude of exactly 1 and points in a particular direction. Unit vectors in a right-handed coordinate system are shown below.

Sample Problem For two decades, spelunking teams sought a connection between the Flint Ridge cave system and Mammoth Cave, which are in Kentucky. When the connection was finally discovered, the combined system was declared the world’s longest cave (more than 200 km long). The team that found the connection had to crawl, climb, and squirm through countless passages, traveling a net 2.6 km westward, 3.9 km southward, and 25 m upward. Express their displacement using unit vectors? P9, page 54.

Scalar product or Dot product

Vector Product or Cross Product