CBSE-XI-Physics
02: Physics and Mathematics
- #3Does the phrase “direction of zero vector” have physical significance? Discuss it terms of velocity, force etc.Ans : A zero vector has physical significance in physics, as the operations on the zero vector gives us a vector.
For any vector `` \stackrel{\to }{A}``, assume that
`` \stackrel{\to }{A}+\stackrel{\to }{0}=\stackrel{\to }{A}
\stackrel{\to }{A}-\stackrel{\to }{0}=\stackrel{\to }{A}
\stackrel{\to }{A}\times \stackrel{\to }{0}=\stackrel{\to }{0}``
Again, for any real number `` \lambda ``, we have:
`` \lambda \stackrel{\to }{0}=\stackrel{\to }{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.
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