Chapter 11.1, Problem 21E

To determine

Tofind:Theoctant in which the point $\left(x>0,y<0,z>0\right)$ is located.

Answer to Problem 21E

Thepoint $\left(x>0,y<0,z>0\right)$ is located in Octant IV.

Explanation of Solution

Given information:

The given point is $\left(x>0,y<0,z>0\right)$ .

Calculation:

An octant is defined as a division of three-dimensional coordinate system into eight divisions that are separated by the planes.

  

According to the question, the value of $x$ and $z$ is greater than 0. So, these values will lie in the positive side of the $x$ -axis and $z$ -axis.

The value of $y$ is less than 0. So, this value will lie in the negative side of the y -axis. Hence, the point $\left(x>0,y<0,z>0\right)$ will lie the Octant IV.

Therefore, the point $\left(x>0,y<0,z>0\right)$ is located in Octant IV.