Homework SourseDetermine the intersection of the following set of planes if
Determine the intersection of the following set of planes if there is one. Classify the system as consistent or inconsistent and give a geometric interpretation for the result.
x - 3y - 2z = -9
2x - 5y + z = 3
-3x + 6y + 2z = 8
Please explain why you did what you did, and show how you got the answer you provide, or I\'ll give you a low rating. Thank you!
x - 3y - 2z = -9
2x - 5y + z = 3
-3x + 6y + 2z = 8
Please explain why you did what you did, and show how you got the answer you provide, or I\'ll give you a low rating. Thank you!
Solution
To find the point of intersection we solve the 3 equations
x - 3y - 2z = -9
2x - 5y + z = 3
-3x + 6y + 2z = 8
simultaneously.
This gives answer as x = 2; y = 1; z = 4
Hence the intersection is the point(2,1,4)
The system is a consistent system as it has a specific independent answer
The answer says that geometrically the 3 planes intersect at a point
