Let us analyze the problem and work step by step to solve it.

1°) Name the vectors:

We will identify vectors according to the figure provided:

a) Equal to $\vec{u}$:

A vector is equal to $\vec{u}$ if it has the same magnitude, direction, and sense as $\vec{u}$.
Answer: The vector equal to $\vec{u}$ is $\vec{AB}$.

b) Opposite sense of $\vec{v}$:

A vector is opposite to $\vec{v}$ if it has the same magnitude and direction, but opposite sense.
Answer: The vector opposite to $\vec{v}$ is $\vec{DC}$.

c) Same magnitude as $\vec{w}$:

A vector with the same magnitude as $\vec{w}$ should have the same length but can have any direction or sense.
Answer: The vector with the same magnitude as $\vec{w}$ is $\vec{EF}$.

d) Same direction as $\vec{v}$:

A vector with the same direction as $\vec{v}$ can have any magnitude and the same sense or opposite.
Answer: The vectors with the same direction as $\vec{v}$ are $\vec{EF}$ and $\vec{DC}$.

2°) Construct the vectors:

a) $\vec{IL}$ opposite to $\vec{w}$:

The vector opposite to $\vec{w}$ should be drawn with the same magnitude and direction as $\vec{w}$, but the sense reversed. Place $\vec{IL}$ accordingly.

b) $\vec{JP}$ equal to $\vec{EF}$:

To construct $\vec{JP}$, ensure it has the same magnitude, direction, and sense as $\vec{EF}$.

c) $\vec{KO}$ having the same magnitude as $\vec{v}$, the same direction as $\vec{AB}$, and the opposite sense of $\vec{u}$:

1. The magnitude must match $\vec{v}$.
2. The direction should align with $\vec{AB}$.
3. The sense should be opposite to $\vec{u}$.

Draw $\vec{KO}$ to satisfy all these properties.

Do you want me to elaborate on any part of this? Feel free to ask!

Here are 5 related questions to deepen your understanding:

1. How do you determine if two vectors are equal?
2. What is the difference between direction and sense in vectors?
3. Can a vector have the same direction but a different sense? Give an example.
4. How do you calculate the magnitude of a vector graphically?
5. What are some real-world applications of opposite vectors?

Tip: Always consider magnitude, direction, and sense when comparing vectors.