Find the coordinates of the point located on the y-axis four units to the left of the xz-plane

To find the coordinates of the point located on the y-axis that is four units to the left of the xz-plane, we need to understand the layout of the coordinate system.

In a three-dimensional Cartesian coordinate system, the x-axis represents the horizontal direction, the y-axis represents the vertical direction, and the z-axis represents depth.

The xz-plane is defined by the points where y = 0. To find a point four units to the left of this plane, we move in the negative x-direction. Since the point is located on the y-axis, its x-coordinate will be -4 (four units left) and the y-coordinate will be 0. The z-coordinate will also be 0 since it is on the y-axis and has no depth.

Therefore, the coordinates of the point are:

  • x = -4
  • y = 0
  • z = 0

The final coordinates are: (-4, 0, 0).

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