Submitted by Halley276 on Mon, 10/15/2018 - 05:18
Question 2(ii) I am not familiar with coordinates with three-values. Is it referring to an xyz-plane? I don't understand how to find the fourth vertex and how to find the base area. Could someone please explain?
3D coordinates
You are correct in assuming that the coordinates are referring to a point in the $xyz$ plane - the first coordinate is the displacement in the $x$ direction, the second is the displacement in the $y$ direction and the third is the displacement in the $z$ direction. Here is a bit of an explanation about how they work.
The rectangular base of the pyramid is is the $xy$ plane, so the $z$ coordinate will be $0$. One of the vertices is a displacement of 4 unit in the $x$ direction from the origin - $(0,0,0)$ and another is a displacement of 6 units in the $y$ direction from the origin. To get to the last vertex of the rectangle you need to go 4 units in the $x$ directionand 6 units in the $y$ direction, so it will be at $(4, 6, 0)$.