A vector with the same magnitude but opposite direction is called the negative vector.
Here's a breakdown:
- Vectors: Vectors are mathematical objects that have both magnitude (length) and direction. They are often represented by arrows.
- Magnitude: The magnitude of a vector is its length.
- Direction: The direction of a vector is the way it points.
- Negative Vector: The negative vector of a given vector has the same magnitude but points in the opposite direction.
Example:
Let's say you have a vector v pointing to the right with a magnitude of 5 units. Its negative vector, -v, would also have a magnitude of 5 units but would point to the left.
Practical Insights:
- Negative vectors are important in physics, engineering, and other fields where vectors are used to represent forces, velocities, and other quantities.
- In some cases, the negative vector of a force is called the "opposite force."
- Understanding negative vectors helps to understand the concept of vector addition and subtraction.
