Now consider a system of three linear equations in and

Chapter 1, Problem 1.70

(choose chapter or problem)

Now consider a system of three linear equations in and Each equationrepresents a plane in the three-dimensional coordinate system.(a) Find an example of a system represented by three planes intersecting ina line, as shown in Figure 1.15(a).(b) Find an example of a system represented by three planes intersecting ata point, as shown in Figure 1.15(b).(c) Find an example of a system represented by three planes with no commonintersection, as shown in Figure 1.15(c).(d) Are there other configurations of three planes in addition to those given inFigure 1.15? Explain.