3D geometry converting equation of line from symmetric form to general form(as intersection of 2 planes)












0












$begingroup$


I wanted to find out an easy way to convert the equation of line in 3d from symmetric to general form. I find it difficult to express a line (3-d) as an intersection of 2 planes given the equation of line of intersection.
(it would be great if one shares a simple example along with explanation).










share|cite|improve this question









$endgroup$












  • $begingroup$
    Welcome to MSE! What are the things you have tried already and why are you interested in this problem? It would be nice if you could add an explanation what you mean by symmetric form of a line.
    $endgroup$
    – James
    Dec 5 '18 at 11:06










  • $begingroup$
    Do you know how to compute a basis for the null space of a matrix or how to find vectors that are perpendicular to a given vector?
    $endgroup$
    – amd
    Dec 5 '18 at 20:37


















0












$begingroup$


I wanted to find out an easy way to convert the equation of line in 3d from symmetric to general form. I find it difficult to express a line (3-d) as an intersection of 2 planes given the equation of line of intersection.
(it would be great if one shares a simple example along with explanation).










share|cite|improve this question









$endgroup$












  • $begingroup$
    Welcome to MSE! What are the things you have tried already and why are you interested in this problem? It would be nice if you could add an explanation what you mean by symmetric form of a line.
    $endgroup$
    – James
    Dec 5 '18 at 11:06










  • $begingroup$
    Do you know how to compute a basis for the null space of a matrix or how to find vectors that are perpendicular to a given vector?
    $endgroup$
    – amd
    Dec 5 '18 at 20:37
















0












0








0





$begingroup$


I wanted to find out an easy way to convert the equation of line in 3d from symmetric to general form. I find it difficult to express a line (3-d) as an intersection of 2 planes given the equation of line of intersection.
(it would be great if one shares a simple example along with explanation).










share|cite|improve this question









$endgroup$




I wanted to find out an easy way to convert the equation of line in 3d from symmetric to general form. I find it difficult to express a line (3-d) as an intersection of 2 planes given the equation of line of intersection.
(it would be great if one shares a simple example along with explanation).







geometry 3d






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Dec 5 '18 at 11:05









Shrikrishna LollaShrikrishna Lolla

11




11












  • $begingroup$
    Welcome to MSE! What are the things you have tried already and why are you interested in this problem? It would be nice if you could add an explanation what you mean by symmetric form of a line.
    $endgroup$
    – James
    Dec 5 '18 at 11:06










  • $begingroup$
    Do you know how to compute a basis for the null space of a matrix or how to find vectors that are perpendicular to a given vector?
    $endgroup$
    – amd
    Dec 5 '18 at 20:37




















  • $begingroup$
    Welcome to MSE! What are the things you have tried already and why are you interested in this problem? It would be nice if you could add an explanation what you mean by symmetric form of a line.
    $endgroup$
    – James
    Dec 5 '18 at 11:06










  • $begingroup$
    Do you know how to compute a basis for the null space of a matrix or how to find vectors that are perpendicular to a given vector?
    $endgroup$
    – amd
    Dec 5 '18 at 20:37


















$begingroup$
Welcome to MSE! What are the things you have tried already and why are you interested in this problem? It would be nice if you could add an explanation what you mean by symmetric form of a line.
$endgroup$
– James
Dec 5 '18 at 11:06




$begingroup$
Welcome to MSE! What are the things you have tried already and why are you interested in this problem? It would be nice if you could add an explanation what you mean by symmetric form of a line.
$endgroup$
– James
Dec 5 '18 at 11:06












$begingroup$
Do you know how to compute a basis for the null space of a matrix or how to find vectors that are perpendicular to a given vector?
$endgroup$
– amd
Dec 5 '18 at 20:37






$begingroup$
Do you know how to compute a basis for the null space of a matrix or how to find vectors that are perpendicular to a given vector?
$endgroup$
– amd
Dec 5 '18 at 20:37












0






active

oldest

votes











Your Answer





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
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3026943%2f3d-geometry-converting-equation-of-line-from-symmetric-form-to-general-formas-i%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
















draft saved

draft discarded




















































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.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3026943%2f3d-geometry-converting-equation-of-line-from-symmetric-form-to-general-formas-i%23new-answer', 'question_page');
}
);

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







Popular posts from this blog

Bundesstraße 106

Verónica Boquete

Ida-Boy-Ed-Garten