Zero Vector Example
Consider a scenario where two individuals are engaged in a tug-of-war, each pulling a rope with an equal force but in opposite directions. In this situation, the forces applied by the two individuals cancel each other out due to their opposing directions.
Let, the force exerted by the first person can be represented as a vector F1, and the force exerted by the second person as F2. In this context, F1 and F2 are equal in magnitude but opposite in direction.
Fnet = F1 + F2 = +F +(−F)
This simplifies to Fnet = 0, indicating that the net force acting on the rope is a zero vector. In this case, the forces are perfectly balanced, and the rope experiences no acceleration or change in motion. The concept of a zero vector, or null vector, becomes evident as the forces in opposite directions nullify each other, resulting in a state of equilibrium.
Zero Vector
Zero Vectors are the vectors with all its components zero. A zero vector or a null vector is defined as a vector in space with a magnitude equal to 0 and an undefined direction. The zero-vector symbol for three-dimensional space is given by [Tex]\overrightarrow{\rm 0} [/Tex] = (0, 0, 0), and the zero-vector symbol for two-dimensional space is given by [Tex]\overrightarrow{\rm 0} [/Tex] = (0, 0).
In this article, we will learn about zero vectors with zero vector definition, zero vector symbol, properties of zero vectors, and, the significance of zero vectors.
Table of Content
- What is Zero Vector (Null Vector)?
- Zero Vector Explanation
- Properties of Zero Vector (Null Vector)
- Significance of Zero Vector (Null Vector)
- Solved Examples