Question
A vector is not changed if:
  1. It is rotated through an arbitrary angle.
  2. It is multiplied by an arbitrary scalar.
  3. It is cross multiplied by a unit vector.
  4. It is slid parallel to itself.

Answer

  1. It is slid parallel to itself.

Explanation:

A vector is defined by its magnitude and direction. If we slide it to a parallel position to itself, then none of the given parameters, which define the vector, will change.

Let the magnitude of a displacement vector $\big(\overrightarrow{\text{A}}\big)$ directed towards the north be 5 metres. If we slide it parallel to itself, then the direction and magnitude will not change.

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