Question

The following table shows the signs of coordinates in eight octants.

$\begin{array}{ccccccccc}& I& II& III& IV& V& VI& VII& VIII\\ x& +& -& -& +& +& -& -& +\\ y& +& +& -& -& +& +& -& -\\ z& +& +& +& +& -& -& -& -\end{array}$


In which octant does the given point lie?
(i) (-2, 4, 3)
(ii) (3, -2, -5)
(iii) (-6, 3, -4)
(iv) (-3, -1, 4)
(v) (1, -3, 6)
(vi) (4, 7, -2)

Answer 1

(i) (-2, 4, 3) lies in octant II;

(ii) (3, -2, -5) lies in octant VIII;

(iii) (-6, 3, -4) lies in octant VI;

(iv) (-3, -1, 4) lies in octant III;

(v) (1, -3, 6) lies in octant IV;

(vi) (4, 7, -2) lies in octant V;