Just noticed that you're from Australia. This isn't part of the Australian Maths Challenge is it?
I need help with this, do i use gaussian elimination or something else.
Three planes have eqn's given by:
x+3y-z = 4
2x+8y = 18
x-y-3z = -6
a) have no common point of intersection
b) intersect in a point
c) intersect in a line
d) intersect in a plane
cheers guys
Hello, sterps!
Yes, Gaussian elimination is a good approach.
(You must have made some errors, though.)
Three planes have equations: .
a) have no common point of intersection
b) intersect in a point
c) intersect in a line
d) intersect in a plane
We have: .
. . . .
. . . .
.
Therefore: (b) The planes intersect in a point,