(i)
![\[\left( -5,\text{ }-4,\text{ }7 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-0a034acc319572670f95b4adc41b2eb6_l3.png "Rendered by QuickLaTeX.com")
In this case, since
![\[x\text{ }and\text{ }y\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-cfac9d402f5769faea5dee56057f04fa_l3.png "Rendered by QuickLaTeX.com")
are negative and
![\[z\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-9d9f0494a34ce1f02bb9f7dc0bdcfcd7_l3.png "Rendered by QuickLaTeX.com")
is positive then the octant will be
![\[X\prime OY\prime Z\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-5b514da34ee8a47231a0551c83739307_l3.png "Rendered by QuickLaTeX.com")
(ii)
![\[\left( -5,\text{ }-3,\text{ }-2 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-5883b504086d081fdec248278375d34d_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 negative then octant will be
![\[X\prime OY\prime Z\prime \]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-5eb5cb32d9b4882bd904d79d14727311_l3.png "Rendered by QuickLaTeX.com")
Name the octants in which the following points lie: (i) (-5, -4, 7) (ii) (-5, -3, -2)
Name the octants in which the following points lie: (i) (-5, -4, 7) (ii) (-5, -3, -2)