What is a nonzero vector?
Understand the Problem
The question is asking for the definition of a nonzero vector, which is a vector that has a magnitude (length) that is not equal to zero. This concept is important in mathematics and physics as it differentiates between vectors that contribute to a direction or force and the zero vector, which does not.
Answer
A vector that is not the zero vector.
A nonzero vector is any vector in a vector space that is not the zero vector.
Answer for screen readers
A nonzero vector is any vector in a vector space that is not the zero vector.
More Information
A zero vector has all its components equal to zero, hence it has zero magnitude. Any vector that does not meet this criterion is a nonzero vector.
Sources
- non-zero vector - PlanetMath.org - planetmath.org
- What's a non-zero (column) vector? - Mathematics Stack Exchange - math.stackexchange.com
- Nonzero - Mathwords - mathwords.com
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