Descibe in words the region of RR^{3} represented by the equation or inequality.y = -2

Wierzycaz

Wierzycaz

Answered question

2021-03-02

Descibe in words the region of R3 represented by the equation or inequality.
y=โˆ’2

Answer & Explanation

cheekabooy

cheekabooy

Skilled2021-03-03Added 83 answers

The equation y=โˆ’2ย inย R3 represenrs the vertical plane that is parallel to the xz - plane and it locates 2 units left to the xz - plane.
RR3 is the three dimensional coordinate system which contains x, y and z - coordinates.
The equation y=โˆ’2ย inย R3
represents the set (x,y,z)|y=โˆ’2,
which is the set of all points in R3 whose y - coordinate is -2 and x, z - coordinates are any values.
The equation y=โˆ’2ย inย R3 is sketched as shown in Figure 1
image
From Figure 1, the equation y=โˆ’2ย inย R3 represents the vertical plane that is parallel to the xz - plane and it locates 2 units left to the xz - plane.
Thus, the equation y=โˆ’2ย inย R3 is described.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?