Triangle vector problem
$begingroup$
I consider how to draw this because I have no idea with the Origin,
is the 3.1 part we can solve with :
triangle QAB: triangle QBC so,
AQ : QC = 2:3 ?
But I can't solve the 3.2 part, can anyone show the picture of the triangle and steps to solve this problem ?
vectors triangle vector-fields
$endgroup$
add a comment |
$begingroup$
I consider how to draw this because I have no idea with the Origin,
is the 3.1 part we can solve with :
triangle QAB: triangle QBC so,
AQ : QC = 2:3 ?
But I can't solve the 3.2 part, can anyone show the picture of the triangle and steps to solve this problem ?
vectors triangle vector-fields
$endgroup$
add a comment |
$begingroup$
I consider how to draw this because I have no idea with the Origin,
is the 3.1 part we can solve with :
triangle QAB: triangle QBC so,
AQ : QC = 2:3 ?
But I can't solve the 3.2 part, can anyone show the picture of the triangle and steps to solve this problem ?
vectors triangle vector-fields
$endgroup$
I consider how to draw this because I have no idea with the Origin,
is the 3.1 part we can solve with :
triangle QAB: triangle QBC so,
AQ : QC = 2:3 ?
But I can't solve the 3.2 part, can anyone show the picture of the triangle and steps to solve this problem ?
vectors triangle vector-fields
vectors triangle vector-fields
edited Dec 18 '18 at 4:02
David G. Stork
10.7k31332
10.7k31332
asked Dec 18 '18 at 3:40
Aster ZenAster Zen
438
438
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
For simplicity, just draw three points somewhere in the first quadrant, and call them $ABC$. Now locate the centroid of the triangle, let's call it $M$. Areas of triangles $ABM$, $BCM$, and $CAM$ are all equal. So your point $P$ is farther from $AC$ then $M$, such as the area of $PCA$ is half of the area of the triangle $ABC$. Don't worry if your figure is slightly off.
$endgroup$
add a comment |
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
});
}
});
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%2f3044750%2ftriangle-vector-problem%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
For simplicity, just draw three points somewhere in the first quadrant, and call them $ABC$. Now locate the centroid of the triangle, let's call it $M$. Areas of triangles $ABM$, $BCM$, and $CAM$ are all equal. So your point $P$ is farther from $AC$ then $M$, such as the area of $PCA$ is half of the area of the triangle $ABC$. Don't worry if your figure is slightly off.
$endgroup$
add a comment |
$begingroup$
For simplicity, just draw three points somewhere in the first quadrant, and call them $ABC$. Now locate the centroid of the triangle, let's call it $M$. Areas of triangles $ABM$, $BCM$, and $CAM$ are all equal. So your point $P$ is farther from $AC$ then $M$, such as the area of $PCA$ is half of the area of the triangle $ABC$. Don't worry if your figure is slightly off.
$endgroup$
add a comment |
$begingroup$
For simplicity, just draw three points somewhere in the first quadrant, and call them $ABC$. Now locate the centroid of the triangle, let's call it $M$. Areas of triangles $ABM$, $BCM$, and $CAM$ are all equal. So your point $P$ is farther from $AC$ then $M$, such as the area of $PCA$ is half of the area of the triangle $ABC$. Don't worry if your figure is slightly off.
$endgroup$
For simplicity, just draw three points somewhere in the first quadrant, and call them $ABC$. Now locate the centroid of the triangle, let's call it $M$. Areas of triangles $ABM$, $BCM$, and $CAM$ are all equal. So your point $P$ is farther from $AC$ then $M$, such as the area of $PCA$ is half of the area of the triangle $ABC$. Don't worry if your figure is slightly off.
answered Dec 18 '18 at 6:44
AndreiAndrei
11.7k21026
11.7k21026
add a comment |
add a comment |
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%2f3044750%2ftriangle-vector-problem%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