1.

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»

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.

Numberx signy signz 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


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