Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

Does the Phrase "Direction of Zero Vector" Have Physical Significance? Discuss It Terms of Velocity, Force Etc. - Physics

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Answer in Brief

Does the phrase "direction of zero vector" have physical significance? Discuss it terms of velocity, force etc.

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A zero vector has physical significance in physics, as the operations on the zero vector gives us a vector.
For any vector \[\vec{A}\] , assume that

\[\vec{A}  +  \vec{0}  =  \vec{A} \] 
\[ \vec{A}  -  \vec{0}  =  \vec{A} \] 
\[ \vec{A}  \times  \vec{0}  =  \vec{0}\]
Again, for any real number λ we have:
\[\lambda \vec{0} = \vec{0}\]
The significance of a zero vector can be better understood through the following examples:
The displacement vector of a stationary body for a time interval is a zero vector. 
Similarly, the velocity vector of the stationary body is a zero vector. 
When a ball, thrown upward from the ground, falls to the ground, the displacement vector is a zero vector, which defines the displacement of the ball.
Concept: Fundamental Forces in Nature
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HC Verma Class 11, Class 12 Concepts of Physics Vol. 1
Chapter 2 Physics and Mathematics
Short Answers | Q 3 | Page 27

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