Question

Discuss intersection of two or three planes.

Answer 1

Answer:

The second and third planes are coincident and the first is cuting them, therefore the three planes intersect in a line. The first and second are coincident and the third is parallel to them.Each plane cuts the other two in a line and they form a prismatic surface.

Answer 2

Answer:

Step-by-step explanation:

An intersection of two planes is called a line, they either intersect in a line or are parallel. If the planes are parallel their coefficients of the coordinates namely x y and z become proportional -

A2/A1 = B2/B1 = C2/C1

and the product vector of the normal vector is also zero - N1 × N2 = 0

Whereas in three planes, each plane cuts the other two planes in a line forming a prismatic surface. Second and the third planes are coincident to each other, with the first cutting them, and therefore intersecting in a line.