
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 $\overrightarrow {a}$=(2,3) and $\overrightarrow {b}$=(-2,4), with an angle θ between them,

1. Find the dot product $\overrightarrow {a}$$\cdot \overrightarrow {b}$ and cosθ.
2. Find the coordinates of the unit vector $\overrightarrow {e}$ that has the same direction as $\overrightarrow {a}$.
3. If $2 \overrightarrow {a}$$-λ \overrightarrow {b}$ and $\overrightarrow {a}$$+ \overrightarrow {b}$ are collinear, what is the value of λ?

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