Question

Write the equation of the plane parallel to the YZ-plane and passing through the point ($-3,2,0$).

Answer 1

Hint: A plane can be a two-dimensional figure as well as three-dimensional space. A plane extends infinitely. A plane has an infinite number of planes inside it. It is a flat space.

Complete step by step solution:
The base of the plane can be a point or lines. Group of points or a group of lines can form a plane.
Planes are basically found in Euclidean geometry. They are formed in vector spaces too.
In coordinate geometry, planes have important applications. Coordinate geometry divides a plane into four quadrants – first quadrant (positive variable x and positive variable y), second quadrant (negative variable x and positive variable y), third quadrant (negative variable x and negative variable y) and fourth quadrant (positive variable x and negative variable y).
Planes can also be perpendicular to each other or intersect each other at acute or obtuse angles. When planes are perpendicular to each other, the angle formed at their intersection is equal to $90{}^\circ $.
Plane parallel to the YZ-plane is the plane which has values of y and z variables equal to zero which means that it is formed by equating x variable to some constant as at some value of variable x, the plane is parallel to plane YZ.
The equation of plane parallel to YZ plane is given by:
x = c, where c is some constant.
The equation of plane x = c passing through point ($-3,2,0$) is given by x = $-3$ as the value of x is equal to $-3$ for the given plane and it is parallel to the YZ-plane.

Note:
> Planes parallel to each other have the same slopes.
> For parallel planes, the relative change in variables is constant.