A physical quantity remains the same quantity when multiplied by a scalar.
Which of the following is true about multiplication of a vector by a scalar.
1) Scalar multiplication by a positive number other than 1 changes its magnitude but not direction.
2) Scalar multiplication always lead to change in magnitude and direction.
3) Scalar multiplication by -1 will not change the magnitude of the vector but will change its direction.
4) Scalar multiplication by a negative number other than -1 will reverse its direction and change its magnitude as well.
A quantity which can be represented completely by specifying both its magnitude as well as direction is called a scalar quantity.
Use the following information to answer the next question.
Three statements about scalars and vectors:
I. Vectors having different units cannot be multiplied with each other.
II. Two vectors are considered to be equal if they are of equal magnitude and have the same direction.
III. The multiplication of a scalar with a vector can give a scalar quantity.
Among the given statements,