
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 that the displacements of two particles $A$ and $B$ are $\overrightarrow{{s_A}}=({4,3})$ and $\overrightarrow{{s_B}}=({-2,6})$ respectively, find the length of the projection vector of $\overrightarrow{{s_B}}$ onto $\overrightarrow{{s_A}}$.

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