# Tagged Questions

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### Multiplication with vectors.

Well, I'm not quite sure if I chose right terms for my problem but I will give it a chance. Here, I have some tasks and examples ( http://www.mif.vu.lt/matinf/asm/gr/p12.pdf ). On the bottom of the ...
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### Find point in 3D space based on plane and known point

I'm struggling with drawing geometry in 3D spaces via OpenGL. My current task is to find coordinates of point. Assume we have such input data: Points $a$, $b$ and $k$ define a plane. Point $c$ ...
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### Projecting 3D Point to Plane

I have a plane defined by the equation $Ax + By + Cz + D = 0$. It does not pass through the origin. I have projected the origin of my global coordinate system onto the plane, so it is at $(a, b, c)$. ...
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### What is the difference between $z=0$ plane and $26z=0$ plane

I'm using this site to calculate a plane equation. The points are $(2,3,0)$, $(5,1,0)$ and $(6,9,0)$. The result is $26z = 0$ plane. Is there a difference between $26z =0$ and $z = 0$? Moreover, ...
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### Intersection volume of two oriented bounding boxes

I have been searching the web for a while now, but to my surprise I haven't found a algorithm to the following problem yet: Given are two oriented bounding boxes, that is, they generally are not axis ...
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### How to rotate a plane in 3-D using standard form?

I have a set of points $N = \{n_1, n_2, ...\}$ on a plane $z = 0$. And I have another set of points $M = \{m_1, m_2, ...\}$ on plane $ax + by + cz + d = 0$. $|N| = |M|$ $\forall n_i, n_j \in N$ and ...
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### Finding the missing coordinate of a point within a 3D triangle

We have an equilateral triangle $ABC$ in 3-dimensional space. The points are known, such as: $A = (x_1,y_1,z_1)$ $B = (x_2,y_2,z_2)$ $C = (x_3,y_3,z_3)$ Point $P$ is on triangle $ABC$. If I know ...
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### Calculating Intersection of Three Spheres Step by Step

How do I calculate the intersection of three spheres step by step? Assume that the spheres are $S_i(c_i, r_i)$ where $i = 1,2,3$, $c_i$ is the center coordinates of $S_i$ and $r_i$ is the radius of ...
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### Rays in the space

I have a nice problem from a mathematical circle: Let n be a positive integer. Determine the smallest n with the property in the space having