What is the interaction of two planes?

What is the interaction of two planes?

The intersection of two planes is a line. If the planes do not intersect, they are parallel.

What is formed by the intersection of 2 planes?

Two intersecting planes always form a line If two planes intersect each other, the intersection will always be a line. where r 0 r_0 r0​ is a point on the line and v is the vector result of the cross product of the normal vectors of the two planes.

Do equations of lines have 2 variables?

If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.) (There are always infinitely many solutions to a linear equation in two variables.)

What is the intersection of two planes answers?

Answer and Explanation: The intersection of two planes is called a line.

Is it possible for the intersection of two planes to be a line?

The intersection of two planes is always a line If two planes intersect each other, the intersection will always be a line.

What are the two planes?

Two distinct planes are either parallel or they intersect in a line. A line is either parallel to a plane, intersects it at a single point, or is contained in the plane. Two distinct lines perpendicular to the same plane must be parallel to each other.

What are linear equations in the coordinate plane?

Linear equations in the coordinate plane. A linear equation is an equation with two variables whose graph is a line.

How to solve a system of two equations for the two planes?

The second is a vector solution. First approach: Eliminate variables in the system of two equations for the two planes. This was suggested by Brian Streit in his 15-word answer to this question: “Eliminate one of the variables in the system of two equations for the two planes”.

What is the intersection of the two planes?

The intersection of the two planes is the line x = 2t — 16, y = t This system of equations was dependent on one of the variables (we chose z in our solution). Any system of equations in which some variables are each dependent on one or more of the other remaining variables

What is the difference between a line and a plane?

For our purposes, a line is a ray that is straight and infinite in both directions. Consider the linear equation x + y + z = 1. This is the implicit equation for a plane in space. A plane is a flat sheet that is infinite in all directions.