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Questions tagged [3d]

For things related to 3 dimensions. For geometry of 3-dimensional solids, please use instead (solid-geometry). For non-planar geometry, but otherwise agnostic of dimensions, perhaps (euclidean-geometry) or (analytic-geometry) should also be considered.

This tag is for things related to 3-dimensions. For geometry of 3-dimensional solids, please use instead . For non-planar geometry, but otherwise agnostic of dimensions, perhaps or should also be considered.

Learn more about 3-dimensional space here.

3724 questions
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Keeping camera and focal point relative after translation

I'm creating a program that has a 3D view. The 3D world uses three vectors (X,Y,Z). Now, the way the camera works is by having two points, the focal point and the camera. The camera is set to look at the focal point at all times. I want it so…
Freesnöw
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$3$d, geometry, planes.

In a question, we are asked to Find a plane in $\Bbb R^3$ that is perpendicular to each of the planes: $2x+3y-2z=5$ and $x+2y-3z=8$. My question is: if this third plane is supposed to be perpendicular to both of those planes, shouldn't both of…
user696712
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Equation of pair of lines created by the intersection of 2 double cones?

The equations of $2$ double cones having their vertex at the origin $(0,0,0)$ are given by: $(ax+by+cz)^2=(x^2+y^2+z^2)\cos^2(\theta_1) \hspace{25pt} (1)$ ($\theta_1=$semi-apical angle, and $a,b,c$ are the direction cosine of the axis of the…
Niladri Das
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How to find the intersection points of a 3d plane and 2d circle

I've tried multiple searches but have been unable to find answer or guidance on this question (that I can follow). I also apologize in advance if my terminology is not quite correct. Consider a right had coordinate system where y is up (i.e. x…
Justin
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What will happen if I try to print an impossible solid into a 3D printer?

What would be the result of a 3D modeled impossible solid, like the Penrose Triangle, printed out of a 3D printer?
steps
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Do 3D objects have perimeter?

I have tried reading on it however got conflicting information. There are some sources that say that 3D objects don't have a perimeter. It's only applicable to 2D objects. However in other sources I have seen people trying to calculate perimeter of…
MetaMaths
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Acute angle bisector between two 3D lines

If $L_1$ and $L_2$ are two 3D lines represented by the equation ${L_1}:\frac{{x - 1}}{1} = \frac{y}{{ - 1}} = \frac{{z - 1}}{3}$ & ${L_2}:\frac{{x - 1}}{{ - 3}} = \frac{y}{{ - 1}} = \frac{{z - 1}}{1}$. If the line L bisects the acute angle between…
Samar Imam Zaidi
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Shortest path between two points that makes contact with a line graphed in 3D

Let l be the line in space through the points $(0, 0, 1)$ and $(1, 1, 1)$. What is the length of the shortest possible path that begins at the origin, travels to a point on $l$, then ends at the point $(1, 0, 0)$? So I've recently encountered this…
Boris Poris
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3D Math: How to make a camera

I was able, using code, to make/rotate/move around a 3D cube. Now I want to make a camera, that is movable. How exactly would I do that? What math is involved? I have read posts like this, but I do not understand how they do it, and I do not want…
Wannabe Programmer
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Equation of a line in 3D.

I'm about halfway through a highschool class in vectors and calculus, and we are about to finish up the vectors portion. I've asked pretty much every time it's brought up, but why is there no Cartesian equation for a line in 3D? My teacher never…
Carter Tomlenovich
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If equation rep $x^2+2y^2-5z^2+2kyz+2zx+4xy=0$ represent pair of plane. then $k$ is

The values of $k$ for which the equation $x^2+2y^2-5z^2+2kyz+2zx+4xy=0$ represents a pair of plane passing Through origin,is what i try $x^2+2y^2-5z^2+2kyz+2zx+4xy=(ax+by+cz)(px+qy+rz)$ and camparing coefficients but it is very tedious work How do…
jacky
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Calculate Y coordinate of point in plane (triangle)

I need to find the y coordinate of a given point on a triangle in 3D space. If I'm not mistaken the equation for a plane is: $$ \left|\begin{matrix}x-A_x & y -A_y & z-A_ z \\ B_x-A_x & B_y -A_y & B_z-A_ z\\ C_x-A_x & C_y -A_y & C_z-A_…
CoolMcGrrr
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minimum distance between 2d and 3 d curves

Let $P(x,y,1)$ and $Q(x,y,z)$ lies on the curve $\displaystyle \frac{x^2}{9}+\frac{y^2}{4}=4$ and $\displaystyle \frac{x+2}{1}=\frac{\sqrt{3}-y}{\sqrt{3}}=\frac{z-1}{2}$ respectively. Then the square of minimum distance between $P$ and $Q$ is…
jacky
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Volume enclosed by plane in 3d

The volume enclosed by the plane $|3x-4|+|2y-3|+|z+4|=3$ is Try: $$\bigg|x-\frac{4}{3}\bigg|+\frac{2}{3}\bigg|y-\frac{3}{2}\bigg|+\frac{1}{3}\bigg|z+4\bigg|=1$$ Put $\displaystyle x-\frac{4}{3}=X,y-\frac{3}{2}=Y,z+4=Z$ So…
DXT
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Determine whether the points lie on a straight line.

Determine whether the points $A(2, 6, 2)$, $B(3, 10, 0)$, $C(1, 4, 3)$ lie on a straight line. Is there a formula to solve this question? What is it?
Barry
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