1) Concept:

The equation of the plane parallel to yz- plane is \(x = a\)

2) Given:

\(x = 5\)

3) Calculation:

The given equation is \(x = 5\)

The equation \(x = 5\) represents the set of all points in \(R^{3}\) whose x coordinate is 5.

That is \({(x, y, z) |\ x = 5, y \in R, z \in R}\)

This is a plane which is parellel to yz plane and five units in front of it.

Therefore,

\(x = 5\)

represents a plane in \(R^{3}\) parallel to yz plane and five units in front of it.

Conclusion:

\(x = 5\)

represents a plane in \(R^{3}\) parallel to yz plane and five units in front of it.

The equation of the plane parallel to yz- plane is \(x = a\)

2) Given:

\(x = 5\)

3) Calculation:

The given equation is \(x = 5\)

The equation \(x = 5\) represents the set of all points in \(R^{3}\) whose x coordinate is 5.

That is \({(x, y, z) |\ x = 5, y \in R, z \in R}\)

This is a plane which is parellel to yz plane and five units in front of it.

Therefore,

\(x = 5\)

represents a plane in \(R^{3}\) parallel to yz plane and five units in front of it.

Conclusion:

\(x = 5\)

represents a plane in \(R^{3}\) parallel to yz plane and five units in front of it.