Question

Name the octants in which the following points lie:

(i) (5, 2, 3)

(ii) (-5, 4, 3)

(iii)(4, -3, 5)

(iv) (7, 4, -3)

(v) (-5, -4, 7)

(vi)(-5, -3, -2)

(vii) (2, -5, -7)

(viii)(-7, 2, -5)

Answer 1

(i) All are positive, so octant is XOYZ

(ii)X is negative and rest are positive, so octant is X'OYZ

(iii) Y is negative and rest are positive, so octant is XOY'Z

(iv) Z is negative and rest are positive, so octant is X'OY'Z

(v) X and Y are negative and Z is positive, so octant is X'OY'Z

(vi)All are negative, so octant is XOY'Z'

(vii) Y and Z are negative, so octant is XOY'Z'

(viii) X and Z are negative, so octant is X'OYZ'