Calculus › Section L · Vectors and the geometry of space › Topic L.2
Coordinates and vectors in space
Add one perpendicular axis and the flat picture of points and vectors becomes a model of the room you are sitting in. Distances grow a third square root term, circles inflate into spheres, and everything else carries over intact.
In this topic
- The third axis
- Distance and midpoint in space
- Worked example: distance and midpoint
- Spheres
- Worked example: completing the square three times
- Vectors in three dimensions
- Magnitude and unit vectors in space
- Worked example: a drone's displacement
- Common mistakes to avoid
- Key takeaways
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Standards: Beyond AP