Question

A vector is not changed if

Options

• it is rotated through an arbitrary angle

• it is multiplied by an arbitrary scalar

•  it is cross multiplied by a unit vector

• it is slid parallel to itself.

Answer 1

it is slid parallel to itself.

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 ( \[\vec{A}\] )  directed towards the north be 5 metres. If we slide it parallel to itself, then the direction and magnitude will not change.