Find the octants in which the points (1, 2, 3) and (4, -2, -5) lie
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3D Geometry:
Explanation:
- Three-dimensional space is a geometric setting in within which three values are required to determine the position of an element.
- In geometry, a three-dimensional shape has three dimensions – length, width, and height.
- Octant is divided into 8 quadrants.
- For these quadrants, the specific signs( +, -) are assigned.
- Using these signs we can determine the position of points.
Now,
1)
for points (1, 2, 3):
x = +, y =+, z = +
Hence points (1, 2, 3) are lies in I quadrant.
2)
for points (4, -2, -5) :
x = +, y = -, z = -
Hence points (4, -2, -5) are lies in the VIII quadrant.
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