Can the magnitude of a vector be negative?
Understand the Problem
The question is inquiring whether the size or magnitude of a vector can be a negative number. It aims to clarify the properties of vector magnitudes in mathematics and physics.
Answer
The magnitude of a vector cannot be negative.
The final answer is the magnitude of a vector cannot be negative.
Answer for screen readers
The final answer is the magnitude of a vector cannot be negative.
More Information
The magnitude, also called the length or norm, of a vector is defined as the square root of the sum of the squares of its components, which ensures it is always non-negative.
Sources
- Can magnitude be negative? - Physics Stack Exchange - physics.stackexchange.com
- Can the magnitude of a vector have a negative value? - Toppr - toppr.com
- Can the magnitude of a vector be negative? Why? - Homework Study - homework.study.com
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