> Dear all, > > I want to obtain the 3-dimensional coordinate of > point d. I know the following information: > - Point d should be placed in the plane formed by > (point a, point b, point c) > - I have the distance between point c, point d > - The line formed by (point c, point d) is > perpendicular to the line formed by (point a, point > d) > - Points a, c, d are placed on the circumference of a > circle > With this information, I want to obtain the 3d > coordinate of point d with Matlab software. I want to > obtain a system of linear equations to make it easy > for Matlab if possible. Could anyone help me with > writing this code or system of equations?
let us represent points a,b,c,d with their position vectors A,B,C,D. Let D=[x,y,z]. Let E be the orthogonal projection of D on line AC. Let |CD|=r and |AC|=d. Now we have following equations: