Question

do the three planes x¹2x²x³=4,x−x³=1²and x¹3x²=0 have atleast one common point of intersection ? explain

Answer 1

No, the three planes do not have a common point of intersection.

Step-by-step explanation:

To determine if these three planes have a common point of intersection, we need to solve the system of equations formed by the planes.

The first plane can be rewritten as x + 2x² + 3x³ = 4.

Substituting the value of x from the second plane into the equations of the first and third planes, we get 0 = 4 and 0 = 0, respectively.

Since 0 = 4 is a contradiction, these planes do not have a common point of intersection.