Chapter 10.1, Problem 27E

To determine

Tofind:The octants in which the point $\left(x,y,z\right)$ is located such that $z>0$ .

Answer to Problem 27E

The point $\left(x,y,z\right)$ is located in the any of the first, second, third, fourth octants such that $z>0$ .

Explanation of Solution

Given information:

The condition is $z>0$ .

Calculation:

According to the condition $z<0$ , According to this the point is below the $xy$ -plane.

So, the point $\left(x,y,z\right)$ can be in any of the first, second, third, fourth octants.

Therefore, the point $\left(x,y,z\right)$ is located in the any of the first, second, third, fourth octants such that $z>0$ .