Chapter 11.1, Problem 84E

To determine

Determine the coordinates and state the octant in which each point lies.

Answer to Problem 84E

The coordinate of point A is $\left(6,2,–6\right)$ and lies in Octant V.

The coordinate of point B is $\left(2,–1,2\right)$ and lies in Octane IV

The coordinate of point C is $\left(–2,3,1\right)$ and lies in Octant II

Explanation of Solution

Given:

  

Consider the given points A,B and C on coordinate axis:

The point A is located six units in front of the yz plane, two units to the right of the xz plane, and six units below the xy plane. Therefore coordinate of point A is $\left(6,2,–6\right)$ vand lies in Octant V.

Similarly the point B is located two units in front of the yz plane, one unit to the left of the xz plane, and two units above the xy plane. Therefore coordinate of point B is $\left(2,–1,2\right)$ and lies in Octane IV

Similarly the point C is located two units behind the yz plane, three units to the right of the xz plane, and two units above the xy plane. Therefore coordinate of point C is $\left(–2,3,1\right)$ and lies in Octant II