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).