Intersection of Two Planes Lets take two planes and determine the vector form for the line of intersection. Vector Cross Product Let’s start with the vector cross product of the…Continue readingIntersection of Two Planes
Lines Let’s image we have a point in space Point(A) -2 ; 1 ; 4 and Point(B) 10 ; -7 ; 13 we can define Vector(N) for this line: Now…Continue readingLines
Plane Through Three Points This is done in a series of small steps; Select One Point to be the Primary Point(P) Create Two vectors from the Primary Point(P) to the…Continue readingPlane Through Three Points
Translate Point Along a Vector This is done in a series of small steps; Calculate the Magnitude of the Vector Calculate the Unit Vector Translate the Point Translate Reference Point…Continue readingTranslate Point Along a Vector
Adding Center of Gravity’s Let’s Start off with a 2D problem, we need to know the current areas of both shapes and the current CoG’s for both shapes: We can…Continue readingAdding CoG's
Projecting a Point onto a Plane This is done in a series of small steps; A plane passing through the Point (P) = 1 ; 3 ; 2 and has Normal Vector (N)…Continue readingProjecting a Point onto a Plane
Points are defined by three values of magnitude X, Y, Z for example 100mm, 240mm, 345mm. They maybe the simplest geometry form but points are the underpinning geometry for everything…Continue readingPoints
Planes A plane is really two points, one that defines a vector(ok I’m cheating, one of the points for the vector is always at 0, 0, 0) and a point…Continue readingPlanes
Vectors Vectors, Magnitude and Unit Vectors A vector is simply a line from point to point, the length of the line is unitless so its not defined by mm, m…Continue readingVectors
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