planes 2x + 3y - z = 2, 3x - 3y + z = 4, x - y + 2z = 5

[karan]

What can we say about three planes 2x + 3y – z = 2, 3x - 3y + z = 4, x – y + 2z = 5

 

[Deleted member 4993]

Re: planes

What can we say about three planes 2x + 3y – z = 2, 3x - 3y + z = 4,x –y + 2z = 5

What are your thoughts?

How is relationship between two planes are expressed?

How is relationship between two straight-lines are expressed - extend that idea to planes.

 

[stapel]

What was wrong with the answer you received for another of your postings of this question?

Please be specific. Thank you.

Eliz.

 

[soroban]

Hello, karan!

\(\displaystyle \text{What can we say about these three planes? }\;\begin{array}{ccc}2x + 3y - z &=& 2 \\ 3x - 3y + z &=& 4 \\ x - y + 2z &=& 5 \end{array}\)

You can verify these statements:

. . None of them are perpendicular.
. . None of them are parallel.
. . They intersect at a single point.