
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 $$\overrightarrow {a}=(1，1)， \overrightarrow {b}=(x，3)， \overrightarrow {c}=(8，6)$$ and $$\overrightarrow {b} \perp \overrightarrow {a}$$.
(1) Find vector $$\overrightarrow {b}$$;
(2) Find the projection of vector $$\overrightarrow {a}$$ onto vector $$\overrightarrow {c}$$;
(3) Find real numbers λ₁ and λ₂ such that $$\overrightarrow {c}=λ_{1} \overrightarrow {a}+λ_{2} \overrightarrow {b}$$.

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