Find the coordinates of a point that is located 5 units in front of the yz-plane, 4 units to the left of the xz-plane, and one unit below the xy-plane.

Question

Find the coordinates of a point that is located 5 units in front of the yz-plane, 4 units to the left of the xz-plane, and one unit below the xy-plane.

find (x,y,z)

Answer 1

Find the coordinates of a point that is located 5 units in front of the yz-plane, 4 units to the left of the xz-plane, and one unit below the xy-plane.

Here is the common convention for the arrangement of the coordinates:

https://en.wikipedia.org/wiki/Three-dimensional_space

When your problem states"in front of the yz plane, it means that the x axis is pointing towards you. That is then +x. You are facing the yz plane, with z up and y to the right.

"to the left of the xz plane" means -y

"below the xy plane means -z

So, your coordinates are (5, -4, -1)

Answer 2

The "right-hand rule" shows the orientation of the x, y, and z axes in the Cartesian Coordinate System. It also give meaning to:

behind front of yz-plane [coordinate of x]

left right of xz-plant [coordinate of y]

above below yx-plane [coordinate of z]

Represent coordinates as (x,y,z)

This one is: (5,-4,-1)