
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
By analogy from the multiplication laws of algebraic expressions, derive the operation laws for the scalar product (dot product) of vectors:  
① From "mn=nm", we deduce " $\overrightarrow{a} \cdot \overrightarrow{b} = \overrightarrow{b} \cdot \overrightarrow{a}$";  
② From "(m+n)t=mt+nt", we deduce " $(\overrightarrow{a} + \overrightarrow{b}) \cdot \overrightarrow{c} = \overrightarrow{a} \cdot \overrightarrow{c} + \overrightarrow{b} \cdot \overrightarrow{c}$";  
③ From "t≠0, mt=nt ⇒ m=n", we deduce " $\overrightarrow{c} ≠ \overrightarrow{0}, \overrightarrow{a} \cdot \overrightarrow{c} = \overrightarrow{b} \cdot \overrightarrow{c} ⇒ \overrightarrow{a} = \overrightarrow{b}$";  
④ From "|m \cdot n| = |m| \cdot |n|", we deduce "$|\overrightarrow{a} \cdot \overrightarrow{b}| = |\overrightarrow{a}| \cdot |\overrightarrow{b}|$";  
⑤ From "(m \cdot n)t = m(n \cdot t)", we deduce " $(\overrightarrow{a} \cdot \overrightarrow{b}) \cdot \overrightarrow{c} = \overrightarrow{a} (\overrightarrow{b} \cdot \overrightarrow{c})$";  
⑥ From "$\frac{ac}{bc} = \frac{a}{b}$", we deduce "$\frac{\overrightarrow{a} \cdot \overrightarrow{c}}{\overrightarrow{b} \cdot \overrightarrow{c}} = \frac{\overrightarrow{a}}{\overrightarrow{b}}$".  
Among the analogies made above, the correct conclusions are ______.

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