Name theoctants 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)

Thex-coordinate, y-coordinate, and z-coordinate ofpoint (1, 2, 3) are all positive. Therefore, this point lies inoctant I.

Thex-coordinate, y-coordinate, and z-coordinate ofpoint (4, –2, 3) are positive, negative, and positiverespectively. Therefore, this point lies in octant IV.

Thex-coordinate, y-coordinate, and z-coordinate ofpoint (4, –2, –5) are positive, negative, and negativerespectively. Therefore, this point lies in octant VIII.

Thex-coordinate, y-coordinate, and z-coordinate ofpoint (4, 2, –5) are positive, positive, and negativerespectively. Therefore, this point lies in octant V.

Thex-coordinate, y-coordinate, and z-coordinate ofpoint (–4, 2, –5) are negative, positive, and negativerespectively. Therefore, this point lies in octant VI.

Thex-coordinate, y-coordinate, and z-coordinate ofpoint (–4, 2, 5) are negative, positive, and positiverespectively. Therefore, this point lies in octant II.

Thex-coordinate, y-coordinate, and z-coordinate ofpoint (–3, –1, 6) are negative, negative, and positiverespectively. Therefore, this point lies in octant III.

Thex-coordinate, y-coordinate, and z-coordinate ofpoint (2, –4, –7) are positive, negative, and negativerespectively. Therefore, this point lies in octant VIII.