In which octant does each of the given points lie?
(i) (-4, -1, -6)
(ii) (2, 3, -4)
(iii) (-6, 5, -1)
(iv) (4, -3, -2)
(v) (-1, -6, 5)
(vi) (4, 6, 8)
The position of a point in a octant is signified by the signs of the x, y, z coordinates.
Here is a table showing signs of the x, y, z coordinates in all the octants.
According to the table
(i) (-4, -1, -6) lies in octant VII
(ii) (2, 3, -4) lies in octant V
(iii) (-6, 5, -1) lies in octant VI
(iv) (4, -3, -2) lies in octant VIII
(v) (-1, -6, 5) lies in octant III
(vi) (4, 6, 8) lies in octant I