
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 the following propositions:
\\(①( \\overrightarrow{a}⋅ \\overrightarrow{b})⋅ \\overrightarrow{c}= \\overrightarrow{a}⋅( \\overrightarrow{b}⋅ \\overrightarrow{c})② \\overrightarrow{a}⋅ \\overrightarrow{b}=0⇔ \\overrightarrow{a}⊥ \\overrightarrow{b}\\)；\\(③\\) If \\( \\overrightarrow{a}\\) and \\( \\overrightarrow{b}\\) are two unit vectors, then \\(| \\overrightarrow{a}|=| \\overrightarrow{b}|\\); \\(④\\) If \\( \\overrightarrow{a}⋅ \\overrightarrow{b}=0\\), then \\( \\overrightarrow{a}= \\overrightarrow{0}\\) or \\( \\overrightarrow{b}= \\overrightarrow{0}\\).

The sequence number of the correct propositions is _______ .

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