(i)
![\[\left( 2,\text{ }-5,\text{ }-7 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-bbac5d80d0b1ff27450fe11a29ac03e5_l3.png "Rendered by QuickLaTeX.com")
In this case, since
![\[z\text{ }and\text{ }y\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-0a1cdb6fdafc328e6c73bd699b8cb844_l3.png "Rendered by QuickLaTeX.com")
are negative and
![\[x\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-d9f5f383952b7a3f84125cb5193e25a5_l3.png "Rendered by QuickLaTeX.com")
is positive then the octant will be
![\[XOY\prime Z\prime \]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-d4c6901700a734b1ea0cbee8780d549b_l3.png "Rendered by QuickLaTeX.com")
(ii)
![\[\left( -7,\text{ }2,\text{ }-5 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-3ab587a31f53321e0937920fc0571340_l3.png "Rendered by QuickLaTeX.com")
In this case, since
![\[x\text{ }and\text{ }z\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-a1796a5446d96fa43925cf86ed93867a_l3.png "Rendered by QuickLaTeX.com")
are negative and
is positive then the octant will be
![\[X\prime OYZ\prime \]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-8f6c38635af439132b977c9d03525956_l3.png "Rendered by QuickLaTeX.com")
Name the octants in which the following points lie: (i) (2, -5, -7) (ii) (-7, 2, -5)
Name the octants in which the following points lie: (i) (2, -5, -7) (ii) (-7, 2, -5)