Rotate a plane Ax+By+Cz+D around a vector x₁î+y₁ĵ+z₁k̂ by angle a The Next CEO of Stack OverflowRotate a 3D vector on a planeSVD and how to get two points on a 3D line from the representation of the line by means of two intersecting planes?Rotate $z = 0$ plane in 3DRotation around a line which is determined by two points in 3D spacePove that the angle between planes in which origin lies is acute if $a_1a_2+b_1b_2+c_1c_2<0$Rotate a vector in 4D spaceRotate a line around a point in space.What will be the new angle between the two 2d points if I rotate one point about another point by a certain angleAngular Bisector of PlanesHow to determine if any point is in the acute or the obtuse angle between 2 planes
Upgrading From a 9 Speed Sora Derailleur?
Finitely generated matrix groups whose eigenvalues are all algebraic
Direct Implications Between USA and UK in Event of No-Deal Brexit
Airship steam engine room - problems and conflict
How to pronounce fünf in 45
Why can't we say "I have been having a dog"?
Are British MPs missing the point, with these 'Indicative Votes'?
What steps are necessary to read a Modern SSD in Medieval Europe?
pgfplots: How to draw a tangent graph below two others?
Find a path from s to t using as few red nodes as possible
Compilation of a 2d array and a 1d array
Is it possible to create a QR code using text?
How can I separate the number from the unit in argument?
Planeswalker Ability and Death Timing
Can you teleport closer to a creature you are Frightened of?
Why does freezing point matter when picking cooler ice packs?
Is there a rule of thumb for determining the amount one should accept for a settlement offer?
Why do we say “un seul M” and not “une seule M” even though M is a “consonne”?
How to unfasten electrical subpanel attached with ramset
Incomplete cube
Is this a new Fibonacci Identity?
Is it correct to say moon starry nights?
Can this transistor (2n2222) take 6V on emitter-base? Am I reading datasheet incorrectly?
What does this strange code stamp on my passport mean?
Rotate a plane Ax+By+Cz+D around a vector x₁î+y₁ĵ+z₁k̂ by angle a
The Next CEO of Stack OverflowRotate a 3D vector on a planeSVD and how to get two points on a 3D line from the representation of the line by means of two intersecting planes?Rotate $z = 0$ plane in 3DRotation around a line which is determined by two points in 3D spacePove that the angle between planes in which origin lies is acute if $a_1a_2+b_1b_2+c_1c_2<0$Rotate a vector in 4D spaceRotate a line around a point in space.What will be the new angle between the two 2d points if I rotate one point about another point by a certain angleAngular Bisector of PlanesHow to determine if any point is in the acute or the obtuse angle between 2 planes
$begingroup$
Can I rotate a plane defined by $Ax+By+Cz+D=0$ around a vector $x_1,y_1,z_1$ by a specific angle $alpha$? The result would be a new plane $A_2x+B_2y+C_2z+D_2=0$. How are $A_2,B_2,C_2$ and $D_2$ calculated based on $A,B,C,D,x_1,y_1,z_1$ and $alpha$?
Thanks in advance !
geometry vectors plane-geometry
edited Mar 28 at 10:38
Especially Lime
22.7k23059
asked Mar 28 at 10:11
AndyAndy
11
New contributor
Andy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
Can I rotate a plane defined by $Ax+By+Cz+D=0$ around a vector $x_1,y_1,z_1$ by a specific angle $alpha$? The result would be a new plane $A_2x+B_2y+C_2z+D_2=0$. How are $A_2,B_2,C_2$ and $D_2$ calculated based on $A,B,C,D,x_1,y_1,z_1$ and $alpha$?
Thanks in advance !
geometry vectors plane-geometry
edited Mar 28 at 10:38
Especially Lime
22.7k23059
asked Mar 28 at 10:11
AndyAndy
11
New contributor
Andy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
$begingroup$
I suppose the first step would be to rotate the plane normal around the vector? I guess then A2 B2 C2 would be defined, and all that remains in to be calculated is D2.
$endgroup$
– Andy
17 hours ago
add a comment |
$begingroup$
Can I rotate a plane defined by $Ax+By+Cz+D=0$ around a vector $x_1,y_1,z_1$ by a specific angle $alpha$? The result would be a new plane $A_2x+B_2y+C_2z+D_2=0$. How are $A_2,B_2,C_2$ and $D_2$ calculated based on $A,B,C,D,x_1,y_1,z_1$ and $alpha$?
Thanks in advance !
geometry vectors plane-geometry
edited Mar 28 at 10:38
Especially Lime
22.7k23059
asked Mar 28 at 10:11
AndyAndy
11
New contributor
Andy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Can I rotate a plane defined by $Ax+By+Cz+D=0$ around a vector $x_1,y_1,z_1$ by a specific angle $alpha$? The result would be a new plane $A_2x+B_2y+C_2z+D_2=0$. How are $A_2,B_2,C_2$ and $D_2$ calculated based on $A,B,C,D,x_1,y_1,z_1$ and $alpha$?
Thanks in advance !
geometry vectors plane-geometry
geometry vectors plane-geometry
edited Mar 28 at 10:38
Especially Lime
22.7k23059
asked Mar 28 at 10:11
AndyAndy
11
New contributor
Andy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Mar 28 at 10:38
Especially Lime
22.7k23059
asked Mar 28 at 10:11
AndyAndy
11
New contributor
Andy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Mar 28 at 10:38
Especially Lime
22.7k23059
edited Mar 28 at 10:38
Especially Lime
22.7k23059
edited Mar 28 at 10:38
Especially Lime
22.7k23059
22.7k23059
asked Mar 28 at 10:11
AndyAndy
11
New contributor
Andy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 28 at 10:11
AndyAndy
11
asked Mar 28 at 10:11
AndyAndy
11
11
New contributor
Andy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Andy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Andy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$begingroup$
I suppose the first step would be to rotate the plane normal around the vector? I guess then A2 B2 C2 would be defined, and all that remains in to be calculated is D2.
$endgroup$
– Andy
17 hours ago
add a comment |
$begingroup$
I suppose the first step would be to rotate the plane normal around the vector? I guess then A2 B2 C2 would be defined, and all that remains in to be calculated is D2.
$endgroup$
– Andy
17 hours ago
$begingroup$
I suppose the first step would be to rotate the plane normal around the vector? I guess then A2 B2 C2 would be defined, and all that remains in to be calculated is D2.
$endgroup$
– Andy
17 hours ago
$begingroup$
I suppose the first step would be to rotate the plane normal around the vector? I guess then A2 B2 C2 would be defined, and all that remains in to be calculated is D2.
$endgroup$
– Andy
17 hours ago
add a comment |
0
active
oldest
votes
StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Andy is a new contributor. Be nice, and check out our Code of Conduct.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3165701%2frotate-a-plane-axbyczd-around-a-vector-x%25e2%2582%2581i%25cc%2582y%25e2%2582%2581j%25cc%2582z%25e2%2582%2581k%25cc%2582-by-angle-a%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Andy is a new contributor. Be nice, and check out our Code of Conduct.
Andy is a new contributor. Be nice, and check out our Code of Conduct.
Andy is a new contributor. Be nice, and check out our Code of Conduct.
Andy is a new contributor. Be nice, and check out our Code of Conduct.
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3165701%2frotate-a-plane-axbyczd-around-a-vector-x%25e2%2582%2581i%25cc%2582y%25e2%2582%2581j%25cc%2582z%25e2%2582%2581k%25cc%2582-by-angle-a%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
I suppose the first step would be to rotate the plane normal around the vector? I guess then A2 B2 C2 would be defined, and all that remains in to be calculated is D2.
$endgroup$
– Andy
17 hours ago