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.

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