Name the octants in which the following points lie:

(1, 2, 3), (4, –2, 3), (4, –2, –5), (4, 2, –5), (– 4, 2, –5), (– 4, 2, 5), (–3, –1, 6) (2, – 4, –7).



(i) (1, 2, 3)


Here x is positive, y is positive and z is positive.


So it lies in I octant.


(ii) (4, -2, 3)


Here x is positive, y is negative and z is positive.


So it lies in IV octant.


(iii) (4, -2, -5)


Here x is positive, y is negative and z is negative.


So it lies in VIII octant.


(iv) (4, 2, -5)


Here x is positive, y is positive and z is negative.


So it lies in V octant.


(v) (-4, 2, -5)


Here x is negative, y is positive and z is negative.


So it lies in VI octant.


(vi) (-4, 2, 5)


Here x is negative, y is positive and z is positive.


So it lies in II octant.


(vii) (-3, -1, 6)


Here x is negative, y is negative and z is positive.


So it lies in III octant.


(viii) (2, -4, -7)


Here x is positive, y is negative and z is negative.


So it lies in VIII octant.


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