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Coordinates in three dimensions
Coordinates in three dimensions
Example 1
A point is P=(8,2,3) in (x,y,z) order. What is its height z?
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Answer: 3
- The third coordinate gives z, so the height is 3 units.
Example 2
P starts at (2,4,4). Move 5 units in the positive z direction only. What are the new coordinates?
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Answer: (2,4,9)
- Only the third coordinate changes: z=4+5=9.
Example 3
P=(7,4,5) is projected vertically onto the xy-plane. What is the projected z-coordinate?
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Answer: 0
- Every point on the xy-plane has z=0; x and y stay unchanged.
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