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

Question

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

Wierzycaz 2021-03-02 Answered

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

Ask Expert 1 See Answers

You can still ask an expert for help

Expert Answer

cheekabooy

Answered 2021-03-03 Author has 83 answers

The equation $y = - 2 i n R^{3}$ represenrs the vertical plane that is parallel to the xz - plane and it locates 2 units left to the xz - plane.
$R R^{3}$ is the three dimensional coordinate system which contains x, y and z - coordinates.
The equation $y = - 2 i n R^{3}$
represents the set $(x, y, z) | y = - 2$ ,
which is the set of all points in $R^{3}$ whose y - coordinate is -2 and x, z - coordinates are any values.
The equation $y = - 2 i n R^{3}$ is sketched as shown in Figure 1

From Figure 1, the equation $y = - 2 i n R^{3}$ represents the vertical plane that is parallel to the xz - plane and it locates 2 units left to the xz - plane.
Thus, the equation $y = - 2 i n R^{3}$ is described.

This is helpful 90

Relevant Questions

asked 2021-02-25

The change - of - coordinate matrix from

B = {[\begin{matrix} 3 \\ - 1 \\ 4 \end{matrix}] [\begin{matrix} 2 \\ 0 \\ - 5 \end{matrix}] [\begin{matrix} 8 \\ - 2 \\ 7 \end{matrix}]}

to the standard basis in

R R^{n} .

See answers (1)

asked 2020-10-26

Plotting points and finding distance in three dimensions. Two points P and

\underset{―}{O}

are given.
(a) Plot P and

\underset{―}{O}

.
(b) Find the distance between P and

\underset{―}{O} .

P (3, 1, 0), \underset{―}{O} (- 1, 2, - 5)

See answers (1)

asked 2021-09-22

Below are various vectors in cartesian, cylindrical and spherical coordinates. Express the given vectors in two other coordinate systems outside the coordinate system in which they are expressed
$a) \vec{A} (x, y, z) = {\vec{e}}_{x}$
$d) \vec{A} (ρ, ϕ, z) = {\vec{e}}_{ρ}$
$g) \vec{A} (r, θ, ϕ) = {\vec{e}}_{θ}$
$j) \vec{A} (x, y, z) = \frac{- y {\vec{e}}_{x} + x {\vec{e}}_{y}}{x^{2} + y^{2}}$

See answers (1)

asked 2021-02-22

Describe in words the region of

R^{3}

represented by the equation(s) or inequality.

x = 5

See answers (1)

asked 2021-09-29

For the polar point $(- 4, - \frac{3 π}{4})$
a) Give alternate coordinates with $r > 0$ and $- 2 π \leq θ < 0$ .
b) Give alternate coordinates with $r < 0$ and $0 \leq θ < 2 π$ .
c) Give alternate coordinates of your choice.