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Name the octants in which the following...

Name the octants in which the following points lie:`(1, 2, 3)`, `(4, -2, 3)`, `(4, -2, -5)`, `(4, 2, -5)`, `( -4, 2, -5)`, `( -4, 2, 5)`, `(-3, -1, 6)`,`(2, -4,-7)`.

Text Solution

Verified by Experts

The given points are,
`(1,2,3),(4,-2,3),(4,-2,-5),(4,2,-5),(-4,2,-5),(-4,2,5),(-3,-1,6)` and `(2,-4,-7)`.

Since, the `x"-coordinate", y"-coordinate"` and `z"-coordinate"` of the point `(1,2,3)` are all positive.
Therefore, the point `(1,2,3)` lies in the octant `I`.

Since, the `x"-coordinate", y"-coordinate"` and `z"-coordinate"` of the point `(4,−2,3)` are positive, negative and positive respectively.
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