Question

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)

Answer 1

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.

Number	x sign	y sign	z sign
I	+	+	+
II	-	+	+
III	-	-	+
Iv	+	-	+
v	+	+	-
vI	-	+	-
vII	-	-	-
vIII	+	-	-

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