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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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#### Solution

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.

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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