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

Gold Member
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##

## Answers and Replies

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

chwala
Homework Helper
Gold Member
2022 Award
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##?

jim mcnamara
Gold Member
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

Gold Member
It would just be direct from the diagram...

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

Steve4Physics
Homework Helper
Gold Member
2022 Award
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).

chwala