Statics › Section B · Forces and other vectors › Topic B.6
Dot products and projections
How much of a cable's pull actually acts along a strut? What angle do two bracing members make? Both questions come down to one operation, the dot product, which multiplies two vectors to give a single number.
In this topic
- Multiplying two vectors
- Two ways to compute it
- Unit vectors and the rules
- Angles and perpendicular lines
- Worked example: the angle between two cables
- Scalar projection
- Vector projection and the perpendicular part
- Worked example: splitting a force on a strut
- Reading a negative projection
- Common mistakes to avoid
- Key takeaways
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