![]() ![]() Here are some real-life examples where zero vectors are used all the time.Įxample1 Suppose you went to Los Angeles from California for some work and came back to California in exactly the same way after you finished your work. Thus, the use of vector algebra null vectors is essential. In the same way, the zero vector actually exists but it does not have direction and value.Īnd in this case, the initial point and the final point are not different but meet at the same point. Then we can write pĪnd graphically, the zero vector is represented by points. Simply put, zero vectors are those vectors that have no specific direction and the absolute value is zero.Īnalytically, all these vectors are denoted by arrow marks above zero. Zero-vectors represent those measurable physical quantities that have no specific direction and absolute value. Then the question may come to your mind what is the difference between scalar zero and vector zero. ![]() Then which will be the displacementīut you can always describe the absolute value of the vector by a scalar. So, if you have to write the equation correctly, you have to write zero as a vector. You can better understand by looking at the equation above that the displacement is represented by a vector but the zero is represented by a scalar. Because you cannot represent any vector sum by a scalar. But, the equation written above is meaningless. Many of you will find the above equation to be true. Since the distance of the particle is zero then the displacement of the particle will also be zero. Then the total distance of the particle will be Suppose the total external force on a particle is zero.
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