Expressing vectors by vectors a and b

naomiik

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Hello! I’m not sure how to express these given vectors by vectors a and b. I had tried to solve a few problems but I’m completely lost.E7C5B848-8B7A-4AE1-A61B-8BB1C5021724.jpeg
 

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Please tell exactly with what you are having trouble.
It would help if you could show the diagrams as well as your work.
Can you show the diagram side-by-side with your work?
 
I
Please tell exactly with what you are having trouble.
It would help if you could show the diagrams as well as your work.
Can you show the diagram side-by-side with your work?
I’ve tried to express the vectors by vectors a and b, but I’m not sure if it is correct. I want somebody to check if I’m at least doing it correctly.
I could make a collage of those photos but the quality would be bad so I just attached the problems and my answers.
 
I

I’ve tried to express the vectors by vectors a and b, but I’m not sure if it is correct. I want somebody to check if I’m at least doing it correctly.
I could make a collage of those photos but the quality would be bad so I just attached the problems and my answers.
Use graphical laws of vector addition (polygon).

Show your attempts.
 
You have some fundamental misunderstanding.
If I can follow the diagrams correctly, in the C diagram we are given:
FA=a=DC;      FE=b=BC;    &    ED=AB\overrightarrow {FA} = \vec{a} = \overrightarrow {DC};\;\;\;\overrightarrow {FE} = \vec{b} = \overrightarrow {BC};\;\;\&\;\;\overrightarrow {ED} = \overrightarrow {AB} .
So here goes the list in c).
BC=b\overrightarrow {BC} = \vec{b}
CM=MB+b\overrightarrow {CM} =\overrightarrow {MB}+\vec{b}
AB=BM+a\overrightarrow {AB} =\overrightarrow {BM}+\vec{a}
CE=CD+CD=aAB\overrightarrow {CE} =\overrightarrow {CD}+\overrightarrow {CD}=-\vec{a}-\overrightarrow {AB}
 
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