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  • Name the octant in which each of the following points lies. (i) (1, 2, 3), (ii) (4, – 2, 3), (iii) (4, –2, –5) (iv) (4, 2, –5) (v) (– 4, 2, 5) (vi) (–3, –1, 6) (vii) (2, – 4, – 7) (viii) (– 4, 2, – 5).

Name the octant in which each of the following points lies.

(i) (1, 2, 3), (ii) (4, – 2, 3), (iii) (4, –2, –5) (iv) (4, 2, –5)
(v) (– 4, 2, 5) (vi) (–3, –1, 6) (vii) (2, – 4, – 7) (viii) (– 4, 2, – 5).

Answers (1)

The octant in which a point lies is determined by the signs of the coordinates of the point.

Octants   

Coordinates  

I      

II    

III   

IV    

V    

VI    

VII    

VIII    

x

+

-

-

+

+

-

-

+

y

+

+

-

-

+

+

-

-

Z

+

+

+

+

-

-

-

-

Thus,

  1. (1,2,3)  → first quadrant
  2. (4,-2,3) → Fourth octant
  3. (4,-2,-5) → eighth octant
  4. (4,2,-5) → fifth octant
  5. (-4,2,5) → second octant
  6. (-3,-1,6) → third octant
  7. (3,-4,-7) → eighth octant
  8. (-4,2,-5) → sixth octant
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