Question

Name the octant in which the following points lie (–1, –2, 3), (–1, 2, 3), (–1, 2, –3),

and(– 1, – 2, – 3)​

Answer 1

The x-coordinate y-coordinate andz-coordinate of point (1,2,3) are all positive.

Therefore this point lies in octant I

The x-coordinate y-coordinate and z-coordinate of point (4,−2,3) are positive

negative and positive respectively. Therefore this point lies in octant IV

The x-coordinate y-coordinate and z-coordinate of point (4,−2,−5) are positive

negative and negative respectively. Therefore this point lies in octant VIII

The x-coordinate, y-coordinate and z-coordinate of point (4,2,−5) are positive

positive and negative respectively. Therefore this point lies in octant V

The x-coordinate, y-coordinate and z-coordinate of point (−4,2,−5) are negative

positive, and negative respectively. Therefore this point lies in octant VI

The x-coordinate, y-coordinate and z-coordinate of point (−4,2,5) are negative

positive and positive respectively. Therefore this point lies in octant II

The x-coordinate y-coordinate and z-coordinate of point (−3,−1,6) are negative

negative and positive respectively. Therefore this point lies in octant III

The x-coordinate, y-coordinate and z-coordinate of point (2,−4,−7) are positive

negative and negative respectively. Therefore this point lies in octant VIII