How to calculate velocity of the ship in the direction of the current?

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A ship travels with velocity given by [1 2], with current flowing in the direction given by [1 1​] with respect to some co-ordinate axes.



What is the velocity of the ship in the direction of the current?



Can anyone please help me with this question with intuition behind it?




linear-algebra vectors




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    A ship travels with velocity given by [1 2], with current flowing in the direction given by [1 1​] with respect to some co-ordinate axes.



    What is the velocity of the ship in the direction of the current?



    Can anyone please help me with this question with intuition behind it?




    linear-algebra vectors




    share|cite|improve this question





















      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      A ship travels with velocity given by [1 2], with current flowing in the direction given by [1 1​] with respect to some co-ordinate axes.



      What is the velocity of the ship in the direction of the current?



      Can anyone please help me with this question with intuition behind it?




      linear-algebra vectors




      share|cite|improve this question











      A ship travels with velocity given by [1 2], with current flowing in the direction given by [1 1​] with respect to some co-ordinate axes.



      What is the velocity of the ship in the direction of the current?



      Can anyone please help me with this question with intuition behind it?





      linear-algebra vectors





      share|cite|improve this question










      share|cite|improve this question




      share|cite|improve this question









      asked Aug 7 at 21:34









      Hannan

      1083




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          Since the problem is using velocity as a vector, we can continue that. If you want speed, the take the absolute value of the answer. We want the projection of the ship velocity onto the current velocity. Let $u=(1,2)$ the ship. Let $v=(1,1)$, the current. $$vcdot left ( fracucdot vv right )=(1.5,1.5)$$ Intuitively, we want to divide the ships velocity into x and y parts where the x part is in the direction of the current and the y part is 90 degrees to the current. You could do that any number of ways, but the easiest way to write notation, is the one shown.






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            1 Answer
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            1 Answer
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            active

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            up vote
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            accepted










            Since the problem is using velocity as a vector, we can continue that. If you want speed, the take the absolute value of the answer. We want the projection of the ship velocity onto the current velocity. Let $u=(1,2)$ the ship. Let $v=(1,1)$, the current. $$vcdot left ( fracucdot vv right )=(1.5,1.5)$$ Intuitively, we want to divide the ships velocity into x and y parts where the x part is in the direction of the current and the y part is 90 degrees to the current. You could do that any number of ways, but the easiest way to write notation, is the one shown.






            share|cite|improve this answer

























              up vote
              1
              down vote



              accepted










              Since the problem is using velocity as a vector, we can continue that. If you want speed, the take the absolute value of the answer. We want the projection of the ship velocity onto the current velocity. Let $u=(1,2)$ the ship. Let $v=(1,1)$, the current. $$vcdot left ( fracucdot vv right )=(1.5,1.5)$$ Intuitively, we want to divide the ships velocity into x and y parts where the x part is in the direction of the current and the y part is 90 degrees to the current. You could do that any number of ways, but the easiest way to write notation, is the one shown.






              share|cite|improve this answer























                up vote
                1
                down vote



                accepted







                up vote
                1
                down vote



                accepted






                Since the problem is using velocity as a vector, we can continue that. If you want speed, the take the absolute value of the answer. We want the projection of the ship velocity onto the current velocity. Let $u=(1,2)$ the ship. Let $v=(1,1)$, the current. $$vcdot left ( fracucdot vv right )=(1.5,1.5)$$ Intuitively, we want to divide the ships velocity into x and y parts where the x part is in the direction of the current and the y part is 90 degrees to the current. You could do that any number of ways, but the easiest way to write notation, is the one shown.






                share|cite|improve this answer













                Since the problem is using velocity as a vector, we can continue that. If you want speed, the take the absolute value of the answer. We want the projection of the ship velocity onto the current velocity. Let $u=(1,2)$ the ship. Let $v=(1,1)$, the current. $$vcdot left ( fracucdot vv right )=(1.5,1.5)$$ Intuitively, we want to divide the ships velocity into x and y parts where the x part is in the direction of the current and the y part is 90 degrees to the current. You could do that any number of ways, but the easiest way to write notation, is the one shown.







                share|cite|improve this answer













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                answered Aug 8 at 20:25









                Narlin

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