(i)
![\[\left( 5,\text{ }2,\text{ }3 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e0a6b344c45ec5027431cb3bdbd32856_l3.png "Rendered by QuickLaTeX.com")
In this case, since
![\[x,\text{ }y\text{ }and\text{ }z\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e2add49dfd9e7608d3e9157d44a66ff8_l3.png "Rendered by QuickLaTeX.com")
all three are positive then octant will be
![\[XOYZ\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-0a6093650fd3323b1b3240262851bdbd_l3.png "Rendered by QuickLaTeX.com")
(ii)
![\[\left( -5,\text{ }4,\text{ }3 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-bb3b1035848fd43ff00291c1cbc6a2ae_l3.png "Rendered by QuickLaTeX.com")
In this case, since
![\[x\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-d9f5f383952b7a3f84125cb5193e25a5_l3.png "Rendered by QuickLaTeX.com")
is negative and
![\[y\text{ }and\text{ }z\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-7b9ecadd108db0dda55006054f965679_l3.png "Rendered by QuickLaTeX.com")
are positive then the octant will be
![\[X\prime OYZ\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-0b16298dfbe93e08341e1add93c31d52_l3.png "Rendered by QuickLaTeX.com")
Name the octants in which the following points lie: (i) (5, 2, 3) (ii) (-5, 4, 3)
Name the octants in which the following points lie: (i) (5, 2, 3) (ii) (-5, 4, 3)