List questions from 3d

Published on 15 Mar 2026 - 16:52

69

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Prove that planes $AOA',BOB'$ and $COC'$ pass through the line $\frac{x}{l_1+l_2+l_3}=\frac{y}{m_1+m_2+m_3}=\frac{z}{n_1+n_2+n_3}$

Published on 20 Nov 2015 - 9:42

2.3k

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The line $\frac{x+6}{5}=\frac{y+10}{3}=\frac{z+14}{8}$ is the hypotenuse of an isosceles right angled triangle whose opposite vertex is $(7,2,4)$

Published on 20 Nov 2015 - 15:48

409

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Compute the area defined by four non-planar points

Published on 30 Nov 2015 - 2:46

486

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Is $M-{\hat v}^T \hat v$, positive definite (with M positive definite)?

Published on 30 Mar 2026 - 6:46

1.4k

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Rotate points from one plane to another

Published on 01 Apr 2026 - 0:22

189

Views

$e^{-\frac{1}{x}}e^{-\frac{1}{1-x}}$ in 3D

Published on 01 Dec 2015 - 7:18

381

Views

Examples of 3d visual proofs

Published on 27 Mar 2026 - 1:44

213

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3D shape with orthogonal projections that form circles of the same radius.

Published on 08 Dec 2015 - 11:50

30

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What would be a description of this set in $\mathbb R^3$?

Published on 09 Dec 2015 - 19:36

2.8k

Views

Find points of Rectangle given two diagonal points and a normal in 3D

Published on 27 Mar 2026 - 12:02

1k

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Given a start point in 3d and a quaternion and length to Point B can you find Point B

Published on 02 Apr 2026 - 6:44

671

Views

Show right angles for orthogonal vectors in 3D

Published on 10 Dec 2015 - 17:54

94

Views

Construct 3D plane from 2 points and minimize angle of two vectors with its normal

Published on 28 Mar 2026 - 12:03

732

Views

Circle homography

Published on 12 Dec 2015 - 14:56

List Question

Minimal definition of a Platonic Solid

Prove that planes $AOA',BOB'$ and $COC'$ pass through the line $\frac{x}{l_1+l_2+l_3}=\frac{y}{m_1+m_2+m_3}=\frac{z}{n_1+n_2+n_3}$

The line $\frac{x+6}{5}=\frac{y+10}{3}=\frac{z+14}{8}$ is the hypotenuse of an isosceles right angled triangle whose opposite vertex is $(7,2,4)$

Compute the area defined by four non-planar points

Is $M-{\hat v}^T \hat v$, positive definite (with M positive definite)?

Rotate points from one plane to another

$e^{-\frac{1}{x}}e^{-\frac{1}{1-x}}$ in 3D

Examples of 3d visual proofs

3D shape with orthogonal projections that form circles of the same radius.

What would be a description of this set in $\mathbb R^3$?

Find points of Rectangle given two diagonal points and a normal in 3D

Given a start point in 3d and a quaternion and length to Point B can you find Point B

Show right angles for orthogonal vectors in 3D

Construct 3D plane from 2 points and minimize angle of two vectors with its normal

Circle homography

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