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Collinear vectors are vectors that lie along the same line or are parallel to each other, even if they have different directions or magnitudes. Looking at the diagram, we can analyze the direction of each vector to determine collinearity.

Based on the directions in the image:

- Vectors \(\vec{d}\) and \(\vec{e}\) are collinear because they lie along the same line, but point in opposite directions.
- Vectors \(\vec{f}\) and \(\vec{g}\) are also collinear because they have the same direction and lie along parallel lines.

These two pairs of vectors (\(\vec{d}\) and \(\vec{e}\), \(\vec{f}\) and \(\vec{g}\)) are collinear.

Would you like more details on vector collinearity or the properties of these vectors?

Here are 5 relative questions to expand your understanding:
1. What is the mathematical condition for vectors to be collinear in terms of their components?
2. Can two vectors be collinear if their magnitudes differ significantly?
3. How can you express collinear vectors using vector equations?
4. How do collinear vectors affect vector addition?
5. What is the relationship between collinearity and linear dependence of vectors?

**Tip:** To check for collinearity between vectors, see if one vector is a scalar multiple of the other.

Learn how to identify collinear vectors in a 2D plane. In this problem, vectors d and e, and vectors f and g are determined to be collinear based on their directions and positions. This concept is essential in understanding vector geometry for students in Grades 10-12.

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