Find vector ##x## and ##y## by considering the vector diagram

[chwala]

Homework Statement

Find vector $x$ and $y$ by considering the vector diagram

Relevant Equations

Vectors

This is the problem,

I managed to solve it, i just want to check if there is an alternative approach. Find my solution below;

$\vec x= -\vec a-\vec b-\vec y$
$\vec y= -\vec d+\vec c-\vec b$ therefore,
$\vec x= -\vec a-\vec b+\vec d-\vec c+\vec b$
$\vec x= -\vec a+\vec d-\vec c$

 

[anuttarasammyak]

Your answer seems the unique way to express them by a b c d.

 

[Steve4Physics]

Homework Statement:: Find vector $x$ and $y$ by considering the vector diagram
Relevant Equations:: Vectors

This is the problem,
View attachment 287753

I managed to solve it, i just want to check if there is an alternative approach. Find my solution below;

$\vec x= -\vec a-\vec b-\vec y$
$\vec y= -\vec d+\vec c-\vec b$ therefore,
$\vec x= -\vec a-\vec b+\vec d-\vec c+\vec b$
$\vec x= -\vec a+\vec d-\vec c$

You could improve the solution slightly by using a different loop to find $\vec x$.

Can you see the loop containing $\vec x$ but not contianing $\vec y$?

 

[chwala]

You could improve the solution slightly by using a different loop to find $\vec x$.

Can you see the loop containing $\vec x$ but not contianing $\vec y$?

Hey, I will look at it over the weekend...cheers

 

[chwala]

It would just be direct from the diagram...

$\vec x= -\vec a+\vec d-\vec c$

 

[Steve4Physics]

It would just be direct from the diagram...

$\vec x= -\vec a+\vec d-\vec c$

Yes. It doesn't save much work in this particular problem, but it's still a good idea to look for the 'best' loop(s).