
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given vectors $\overset{⇀}{a}=(1, \sqrt{3})$, $\overset{⇀}{b}=(-2,0)$.
(1) Find $|\overset{⇀}{a}-\overset{⇀}{b}|$;
(2) Find the angle between vectors $\overset{⇀}{a}-\overset{⇀}{b}$ and $\overset{⇀}{b}$;
(3) Find the range of $|\overset{⇀}{a}-t\overset{⇀}{b}|$ when $t\in[-1,1]$.

Present the answer in LaTex format: \boxed{Your answer}
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