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The text in the image is in Spanish and discusses basic vector problems in 3D space. Here's a translation and breakdown of the problem:

---

**Exercise 2: Resolution of basic vector problems in 3D space.**

Consider vectors **v** and **w** corresponding to the principal axes. Now proceed to calculate:

1. The sum **u** = **v** + **w**.
2. The magnitude (or norm) of **u**.
3. The unit vector in the direction of **u**.
4. The angle formed by vectors **v** and **w**.
5. Verify the result using Geogebra or a similar computational program.

Then it presents options for the vectors **v** and **w** as follows:

**A.**  
\[
\mathbf{v} = (5, 7, 9), \ \mathbf{w} = (-1, 0, -3)
\]

**B.**  
\[
\mathbf{v} = (1, 5, 3), \ \mathbf{w} = (2, 4, 6)
\]

**C.**  
\[
\mathbf{v} = (-2, 4, 2), \ \mathbf{w} = (1, 1, 5)
\]

**D.**  
\[
\mathbf{v} = (6, -3, 2), \ \mathbf{w} = (-2, -6, -1)
\]

**E.**  
\[
\mathbf{v} = (-2, 3, 0), \ \mathbf{w} = (1, 2, -5)
\]

---

Would you like me to solve all the parts of the problem for one of the given vector pairs? If so, please specify which pair you would like to focus on, or I can choose one for you.

Let me know if you'd like more details or have any questions!

Here are 5 follow-up questions related to vector operations:
1. What is the general formula for calculating the magnitude (norm) of a vector?
2. How do you calculate the unit vector in the direction of a given vector?
3. What is the formula to compute the dot product between two vectors?
4. How can the dot product help find the angle between two vectors?
5. What are the principal differences between a unit vector and a normal vector?

**Tip**: When working with vectors, always double-check the signs of each component during addition or subtraction.

Resolución de problemas básicos de vectores en el espacio tridimensional. Considere los vectores v y w correspondientes a los ejes principales. Ahora, proceda a calcular: 1. La suma u = v + w. 2. La magnitud (o norma) de u. 3. El vector unitario en la dirección de u. 4. El ángulo formado por los vectores v y w. 5. Verifique la comprobación utilizando Geogebra u otro programa computacional similar.

Solve basic 3D vector problems, including vector addition, calculating magnitude, finding the unit vector, and determining the angle between vectors using the dot product. Includes detailed explanations and formulas.

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