WebSep 18, 2012 · I am trying to find the intersection between two planes in MATLAB. x = -10:10; y = x; [X Y] = meshgrid (x,y); Z1 = 3+X+Y; Z2 = 4-2.*X-4.*Y; mesh (X,Y,Z1) hold on mesh (X,Y,Z2) I know I can find the locations of the elements of Z1 and Z2 where they are equal by setting a new array equal to (Z1==Z2), but that only gives me an arrays of 0s … WebSep 13, 2024 · When two planes intersect, the intersection is a line (Figure \(\PageIndex{9}\)). Figure \(\PageIndex{9}\): The intersection of two nonparallel planes is always a line. We can use the equations of the …

math - Line of intersection between two planes - Stack Overflow

WebAnswer: Two planes are the same or parallel only if their normal vectors happen to be scalar multiples of each other. However, in case the two planes are not parallel, then their intersection takes place, but rather … WebJan 21, 2024 · To find the symmetric equations that represent that intersection line, you’ll need the cross product of the normal vectors of the two planes, as well as a point on the line of intersection. If two planes intersect each other, the … sukin anna cole hand cream

Finding the vector equation for a line that intersects two planes ...

WebApr 23, 2024 · To find a point on the intersection of two planes, with ℓ → = ( ℓ x, ℓ y, ℓ z), we immediately know that: If ℓ x ≠ 0, the line will intersect x = χ (where χ is any real constant, χ ∈ R ). If ℓ x = 0, the line has constant x. If ℓ y ≠ 0, the line will intersect y = γ (where γ is any real constant, γ ∈ R ). If ℓ y = 0, the line has constant y. WebQuestion 1: Find the equation of the plane that passes through the intersection of the planes and and passing through the point (1,1,1). Answer: You must note that the vector … WebFind the equation of the intersection line of the following two planes: \begin {aligned} \alpha : x+y+z&=1 \\ \beta : 2x+3y+4z&=5. \end {aligned} α: x+y +z β: 2x+3y +4z = 1 = 5. Eliminating z z gives. 2x=-y-1, \qquad (1) … pair of puppies