In this problem you will be given pictures of two vectors, r and F. Based on these two vectors you should determine the direction of the torque, T = rx F. Possible answers include left, right, up, down, in, out. F What is the direction of the torque vector? Submit Answer Tries 0/2 What is the direction of the torque vector? Submit Answer Tries 0/2 F x What is the direction of the torque vector?

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Chapter1: Units, Trigonometry. And Vectors
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### Understanding Torque and Vector Direction

In this problem, you will be given pictures of two vectors, \( \vec{r} \) (position vector) and \( \vec{F} \) (force vector). Based on these two vectors, you should determine the direction of the torque vector, \( \vec{T} = \vec{r} \times \vec{F} \). Possible answers include: **left, right, up, down, in,** or **out**.

#### Problem 1

**Diagram 1:**
- **Vectors:** 
  - \( \vec{r} \) is shown as a green arrow pointing to the right.
  - \( \vec{F} \) is shown as a blue arrow pointing up.

**Question:** What is the direction of the torque vector?

*Submit your answer:* [Text Box]  
*Tries:* 0/2

---

#### Problem 2

**Diagram 2:**
- **Vectors:** 
  - \( \vec{r} \) is shown as a green arrow pointing to the right.
  - \( \vec{F} \) is shown as a blue arrow pointing up.

**Question:** What is the direction of the torque vector?

*Submit your answer:* [Text Box]  
*Tries:* 0/2

---

#### Problem 3

**Diagram 3:**
- **Vectors:** 
  - \( \vec{r} \) is shown as a green arrow pointing down.
  - \( \vec{F} \) is shown as a blue arrow pointing to the left.

**Question:** What is the direction of the torque vector?

*Submit your answer:* [Text Box]  
*Tries:* 0/2

---

### Explanation

For each problem, use the right-hand rule to determine the direction of the torque vector:
- Point your fingers in the direction of \( \vec{r} \).
- Curl them toward the direction of \( \vec{F} \).
- Your thumb will point in the direction of \( \vec{T} \).

Imaginatively thinking about the cross product will help you in solving these vector direction problems effectively.
Transcribed Image Text:### Understanding Torque and Vector Direction In this problem, you will be given pictures of two vectors, \( \vec{r} \) (position vector) and \( \vec{F} \) (force vector). Based on these two vectors, you should determine the direction of the torque vector, \( \vec{T} = \vec{r} \times \vec{F} \). Possible answers include: **left, right, up, down, in,** or **out**. #### Problem 1 **Diagram 1:** - **Vectors:** - \( \vec{r} \) is shown as a green arrow pointing to the right. - \( \vec{F} \) is shown as a blue arrow pointing up. **Question:** What is the direction of the torque vector? *Submit your answer:* [Text Box] *Tries:* 0/2 --- #### Problem 2 **Diagram 2:** - **Vectors:** - \( \vec{r} \) is shown as a green arrow pointing to the right. - \( \vec{F} \) is shown as a blue arrow pointing up. **Question:** What is the direction of the torque vector? *Submit your answer:* [Text Box] *Tries:* 0/2 --- #### Problem 3 **Diagram 3:** - **Vectors:** - \( \vec{r} \) is shown as a green arrow pointing down. - \( \vec{F} \) is shown as a blue arrow pointing to the left. **Question:** What is the direction of the torque vector? *Submit your answer:* [Text Box] *Tries:* 0/2 --- ### Explanation For each problem, use the right-hand rule to determine the direction of the torque vector: - Point your fingers in the direction of \( \vec{r} \). - Curl them toward the direction of \( \vec{F} \). - Your thumb will point in the direction of \( \vec{T} \). Imaginatively thinking about the cross product will help you in solving these vector direction problems effectively.
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