Given to vectors $a$ and $ b$ . Find the projection of $ b$? [on hold]











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Vector $a(1, -1, 2)$, $ b(2, -2, 4)$. Find the orthogonal projection of vector $b$ over a straight line , direction of which is that of $a$.






linear-algebra geometry vectors orthogonality







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put on hold as off-topic by Y. Forman, Zvi, jgon, user10354138, Cesareo yesterday


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Y. Forman, Zvi, jgon, user10354138, Cesareo

If this question can be reworded to fit the rules in the help center, please edit the question.

















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    Vector $a(1, -1, 2)$, $ b(2, -2, 4)$. Find the orthogonal projection of vector $b$ over a straight line , direction of which is that of $a$.






    linear-algebra geometry vectors orthogonality







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    Prog is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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    put on hold as off-topic by Y. Forman, Zvi, jgon, user10354138, Cesareo yesterday


    This question appears to be off-topic. The users who voted to close gave this specific reason:


    • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Y. Forman, Zvi, jgon, user10354138, Cesareo

    If this question can be reworded to fit the rules in the help center, please edit the question.















      up vote
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      up vote
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      Vector $a(1, -1, 2)$, $ b(2, -2, 4)$. Find the orthogonal projection of vector $b$ over a straight line , direction of which is that of $a$.






      linear-algebra geometry vectors orthogonality







      share|cite|improve this question









      New contributor




      Prog is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      Vector $a(1, -1, 2)$, $ b(2, -2, 4)$. Find the orthogonal projection of vector $b$ over a straight line , direction of which is that of $a$.






      linear-algebra geometry vectors orthogonality




      linear-algebra geometry vectors orthogonality






      share|cite|improve this question









      New contributor




      Prog is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|cite|improve this question









      New contributor




      Prog is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









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      share|cite|improve this question








      edited 2 days ago









      Yadati Kiran

      435113




      435113






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      asked 2 days ago









      Prog

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      put on hold as off-topic by Y. Forman, Zvi, jgon, user10354138, Cesareo yesterday


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Y. Forman, Zvi, jgon, user10354138, Cesareo

      If this question can be reworded to fit the rules in the help center, please edit the question.




      put on hold as off-topic by Y. Forman, Zvi, jgon, user10354138, Cesareo yesterday


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Y. Forman, Zvi, jgon, user10354138, Cesareo

      If this question can be reworded to fit the rules in the help center, please edit the question.






















          1 Answer
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          The projection maxtrix to a vector $v$ is
          $$P_{ij}=frac{v_i v_j}{(v cdot v)}$$
          Can you see why?






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            1 Answer
            1






            active

            oldest

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            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes








            up vote
            0
            down vote













            The projection maxtrix to a vector $v$ is
            $$P_{ij}=frac{v_i v_j}{(v cdot v)}$$
            Can you see why?






            share|cite|improve this answer

























              up vote
              0
              down vote













              The projection maxtrix to a vector $v$ is
              $$P_{ij}=frac{v_i v_j}{(v cdot v)}$$
              Can you see why?






              share|cite|improve this answer























                up vote
                0
                down vote










                up vote
                0
                down vote









                The projection maxtrix to a vector $v$ is
                $$P_{ij}=frac{v_i v_j}{(v cdot v)}$$
                Can you see why?






                share|cite|improve this answer












                The projection maxtrix to a vector $v$ is
                $$P_{ij}=frac{v_i v_j}{(v cdot v)}$$
                Can you see why?







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered 2 days ago









                Botond

                4,9632732




                4,9632732















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