Describe in words the region \mathbb{R}^3 represented by the equation: XYZ=0

Wierzycaz

Wierzycaz

Answered question

2021-03-25

Describe in words the region R3 represented by the equation:
XYZ=0

Answer & Explanation

Maciej Morrow

Maciej Morrow

Skilled2021-03-27Added 98 answers

the region is a set of three plains:
the whole xy plain where z equals zero.
the whole xz plain where y equals zero.
the whole yz plain where x equals zero.
In other words:
(0,y,z)(x,0,z)(x,y,0)
x,y, and z can be any real numbers.

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