Expressing Vector Values in Terms of a, b, and c

[tweety1234]

Homework Statement

ST= 2TP. If $$\overrightarrow{TP}=a$$ , $$\overrightarrow{PQ} = b$$ and $$\overrightarrow {QR} = C$$ express in terms of a, b and c

a) $$\overrightarrow{RT}$$

b) $$\overrightarrow{ST}$$

c $$\overrightarrow{SR}$$

http://www.mathhelpforum.com/math-help/attachments/advanced-applied-math/9244d1230495606-mechanics-help-untitled.jpg

can anyone help me with this question please, I have attached the diagram

thank you!

Homework Equations

 

[rock.freak667]

Join R to T and you'll have an enclosed polygon and if all the vector arrows follow the same direction, the resultant is zero.

so TP+ PQ+ QR + RT=0. You can now find RT.

(Triangle law, parallelogram law, polygon law)

 

[tweety1234]

Join R to T and you'll have an enclosed polygon and if all the vector arrows follow the same direction, the resultant is zero.

so TP+ PQ+ QR + RT=0. You can now find RT.

(Triangle law, parallelogram law, polygon law)

so does RT = a+b+c ?

and how do i find ST and SR?

 

[tiny-tim]

so does RT = a+b+c ?

No … TR = a+b+c.

 

[tweety1234]

No … TR = a+b+c.

okay , can you explain that? what does RT equal?

 

[tiny-tim]

okay , can you explain that? what does RT equal?

ok … TR is the vector from T to R …

you can either go direct,

or you can go any indirect route (that's the way "vector addition" works), provided the arrows follow you all the way.

If you go from R to T, the arrows don't follow you.

If you go from T to R, they do.