Solution verification for problem in vectors.

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











up vote
0
down vote

favorite












Let $V_1=ai+bj,V_2=ci-dj$, vector in $Bbb R^2$, where $a= x^3y/2,b=x+2y,c=2x-3y,d=y$.



$V_1 cdot V_2 = ac-bd$.



$nabla cdot V_1 = 3x^2y/2+2$.



Component of $V_1$ normal to $V_2$: $V_1 - textproj_V_2(V_1 ) = ai+bj - fracac-bdc^2+d^2(ci-dj)$



gradient of a: $(3x^2y/2,x^3/2)$



Is the solution correct?










share|cite|improve this question

























    up vote
    0
    down vote

    favorite












    Let $V_1=ai+bj,V_2=ci-dj$, vector in $Bbb R^2$, where $a= x^3y/2,b=x+2y,c=2x-3y,d=y$.



    $V_1 cdot V_2 = ac-bd$.



    $nabla cdot V_1 = 3x^2y/2+2$.



    Component of $V_1$ normal to $V_2$: $V_1 - textproj_V_2(V_1 ) = ai+bj - fracac-bdc^2+d^2(ci-dj)$



    gradient of a: $(3x^2y/2,x^3/2)$



    Is the solution correct?










    share|cite|improve this question























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      Let $V_1=ai+bj,V_2=ci-dj$, vector in $Bbb R^2$, where $a= x^3y/2,b=x+2y,c=2x-3y,d=y$.



      $V_1 cdot V_2 = ac-bd$.



      $nabla cdot V_1 = 3x^2y/2+2$.



      Component of $V_1$ normal to $V_2$: $V_1 - textproj_V_2(V_1 ) = ai+bj - fracac-bdc^2+d^2(ci-dj)$



      gradient of a: $(3x^2y/2,x^3/2)$



      Is the solution correct?










      share|cite|improve this question













      Let $V_1=ai+bj,V_2=ci-dj$, vector in $Bbb R^2$, where $a= x^3y/2,b=x+2y,c=2x-3y,d=y$.



      $V_1 cdot V_2 = ac-bd$.



      $nabla cdot V_1 = 3x^2y/2+2$.



      Component of $V_1$ normal to $V_2$: $V_1 - textproj_V_2(V_1 ) = ai+bj - fracac-bdc^2+d^2(ci-dj)$



      gradient of a: $(3x^2y/2,x^3/2)$



      Is the solution correct?







      calculus derivatives vector-analysis






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Aug 30 at 3:00









      userly0

      946




      946




















          1 Answer
          1






          active

          oldest

          votes

















          up vote
          1
          down vote













          Yes, your solutions seems correct to me.






          share|cite|improve this answer




















          • Well, I mean, the user asked is the solution correct? I think it is correct. What else can I say?
            – Hello_World
            Aug 30 at 4:07










          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',
          convertImagesToLinks: true,
          noModals: false,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          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%2f2899058%2fsolution-verification-for-problem-in-vectors%23new-answer', 'question_page');

          );

          Post as a guest






























          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes








          up vote
          1
          down vote













          Yes, your solutions seems correct to me.






          share|cite|improve this answer




















          • Well, I mean, the user asked is the solution correct? I think it is correct. What else can I say?
            – Hello_World
            Aug 30 at 4:07














          up vote
          1
          down vote













          Yes, your solutions seems correct to me.






          share|cite|improve this answer




















          • Well, I mean, the user asked is the solution correct? I think it is correct. What else can I say?
            – Hello_World
            Aug 30 at 4:07












          up vote
          1
          down vote










          up vote
          1
          down vote









          Yes, your solutions seems correct to me.






          share|cite|improve this answer












          Yes, your solutions seems correct to me.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Aug 30 at 3:30









          Hello_World

          3,20321429




          3,20321429











          • Well, I mean, the user asked is the solution correct? I think it is correct. What else can I say?
            – Hello_World
            Aug 30 at 4:07
















          • Well, I mean, the user asked is the solution correct? I think it is correct. What else can I say?
            – Hello_World
            Aug 30 at 4:07















          Well, I mean, the user asked is the solution correct? I think it is correct. What else can I say?
          – Hello_World
          Aug 30 at 4:07




          Well, I mean, the user asked is the solution correct? I think it is correct. What else can I say?
          – Hello_World
          Aug 30 at 4:07

















           

          draft saved


          draft discarded















































           


          draft saved


          draft discarded














          StackExchange.ready(
          function ()
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2899058%2fsolution-verification-for-problem-in-vectors%23new-answer', 'question_page');

          );

          Post as a guest













































































          這個網誌中的熱門文章

          How to combine Bézier curves to a surface?

          Mutual Information Always Non-negative

          Why am i infinitely getting the same tweet with the Twitter Search API?