Can a vector be negative?
Understand the Problem
The question is asking whether a vector can have negative components or directions. In vector mathematics, components of a vector can indeed be negative, indicating direction in the opposite sense relative to a defined coordinate system.
Answer
A vector can be negative in direction, but its magnitude is non-negative.
The final answer is that a vector can be negative in terms of direction, but its magnitude is always non-negative.
Answer for screen readers
The final answer is that a vector can be negative in terms of direction, but its magnitude is always non-negative.
More Information
In vector mathematics, direction and magnitude are key properties. A negative vector has the same magnitude but points in the opposite direction.
Sources
- Negative of a Vector - Definition, Formula, Examples - Cuemath - cuemath.com
- Can you have a negative vector? - BYJU'S - byjus.com
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