A null vector, also known as a zero vector, is a vector with a magnitude of zero. It has no direction.
Here are some examples:
- In a two-dimensional plane: The vector (0, 0) represents a null vector.
- In a three-dimensional space: The vector (0, 0, 0) represents a null vector.
Practical Insights:
- Null vectors are important in linear algebra and physics.
- They are used to represent the absence of a force or displacement.
- They can be used to simplify calculations in certain situations.
Solutions:
- If you add a null vector to any other vector, the resulting vector remains unchanged.
- The dot product of any vector with a null vector is always zero.
