
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 two vectors in the plane, \\( \overrightarrow{a}=(1,x) \\) and \\( \overrightarrow{b}=(2x+3,-x) \\) (where \\( x \in \mathbb{R} \\)).
\\((1)\\) If \\( \overrightarrow{a} \perp \overrightarrow{b} \\), find the value of \\( x \\).
\\((2)\\) If \\( \overrightarrow{a} \parallel \overrightarrow{b} \\), find the magnitude of \\( \overrightarrow{a} - \overrightarrow{b} \\).

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