https://file.aiquickdraw.com/mathbot/file/1727295205342w85s83dw.jpg

To determine which vectors in the image are collinear, let's analyze the directions of the given vectors:

1. **Collinearity**: Two vectors are collinear if they lie along the same line, meaning they have the same or opposite directions.

### Analysis of the Vectors:
- **\(\overrightarrow{DC}\)**: This vector moves diagonally upwards to the right.
- **\(\overrightarrow{FE}\)**: This vector moves diagonally upwards to the right as well. Since both vectors have the same direction, they are **collinear**.

- **\(\overrightarrow{AB}\)**: This vector moves horizontally to the left.
- **\(\overrightarrow{ML}\)**: This vector moves horizontally to the right. These vectors are **not collinear**, as they point in opposite directions.

- **\(\overrightarrow{TO}\)**: This vector moves diagonally downwards to the left.
- **\(\overrightarrow{ML}\)** and **\(\overrightarrow{TO}\)** are not aligned, so they are **not collinear**.

### Conclusion:
The correct answer is **\(\overrightarrow{DC}\) un \(\overrightarrow{FE}\)****.

Would you like further details or have any questions?

Here are five related questions:
1. What is the geometric definition of collinearity?
2. Can opposite-direction vectors still be considered collinear?
3. How do we determine the magnitude of collinear vectors?
4. What are examples of non-collinear vectors in real-life applications?
5. Can vectors in 3D space be collinear, and how do we check that?

**Tip**: Collinear vectors can be scaled versions of each other, differing only in magnitude or direction.

No uzzīmētajiem vektoriem kolineāri ir?

Analyze a set of vectors in a grid and determine which pairs are collinear. Learn how to identify collinear vectors by checking for scalar multiples and parallelism. This example focuses on vectors DC and FE, which are collinear based on their direction.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation