https://file.aiquickdraw.com/mathbot/file/1730636117081dkhkeyfp.jpg

To find the unit vector in the same direction as vector **v** = ⟨-5, 12⟩, we follow these steps:

1. **Calculate the magnitude** of **v**, denoted as ||v||:
   \[
   ||v|| = \sqrt{(-5)^2 + (12)^2} = \sqrt{25 + 144} = \sqrt{169} = 13
   \]

2. **Divide each component of the vector** by the magnitude to get the unit vector:
   \[
   \text{Unit vector} = \left\langle \frac{-5}{13}, \frac{12}{13} \right\rangle
   \]

Therefore, the unit vector in the same direction as **v** is:
\[
\left\langle -\frac{5}{13}, \frac{12}{13} \right\rangle
\]

Let me know if you want further clarification or have any questions.

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### Related Questions:
1. What is the general formula to find the magnitude of a vector?
2. How do you determine if two vectors are in the same direction?
3. What is the difference between a unit vector and a regular vector?
4. Can the unit vector be negative?
5. How does finding a unit vector help in real-world applications?

### Tip:
To check your unit vector calculation, ensure that its magnitude is exactly 1.

Find the unit vector that has the same direction as the given vector v = ⟨-5, 12⟩.

Learn how to find the unit vector in the same direction as vector v = ⟨-5, 12⟩ with a step-by-step solution. This guide covers calculating vector magnitude and applying the unit vector formula, suitable for high school students in grades 10-12.

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