
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 a new operation for planar vectors: \\( \\overrightarrow{a}⊗ \\overrightarrow{b}=| \\overrightarrow{a}|| \\overrightarrow{b}|\\sin < \\overrightarrow{a}, \\overrightarrow{b} > \\), determine the correctness of the following propositions:
\\(① \\overrightarrow{a}⊗ \\overrightarrow{b}= \\overrightarrow{b}⊗ \\overrightarrow{a}\\)
\\(②λ( \\overrightarrow{a}⊗ \\overrightarrow{b})=(λ \\overrightarrow{a})⊗ \\overrightarrow{b}\\)
\\(③( \\overrightarrow{a}+ \\overrightarrow{b})⊗ \\overrightarrow{c}=( \\overrightarrow{a}⊗ \\overrightarrow{c})+( \\overrightarrow{b}⊗ \\overrightarrow{c})\\)
\\(④\\)If\\( \\overrightarrow{a}=(x\_{1},y\_{1})\\) and \\( \\overrightarrow{b}=(x\_{2},y\_{2})\\), then \\( \\overrightarrow{a}⊗ \\overrightarrow{b}=|x\_{1}y\_{2}-x\_{2}y\_{1}|.\\)

Provide the sequence numbers of all incorrect propositions.

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