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,
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,
The correct option is D only II is correct
Vectors having different units cannot be added or subtracted. They, however, can be multiplied or divided. Hence statement I is incorrect.
The multiplication of a scalar with a vector gives a vector. It has a direction same as the direction of the vector quantity. For example, if K is a scalar quantity and is multiplied with a vector, then the result will be− a vector with the same direction as. Hence, statement III is also incorrect.
Any two vectors that have the same magnitude and the same direction of motion are equal vectors. Hence, only statement II is correct.
only II is correct
Vectors having different units cannot be added or subtracted. They, however, can be multiplied or divided. Hence statement I is incorrect.
The multiplication of a scalar with a vector gives a vector. It has a direction same as the direction of the vector quantity. For example, if K is a scalar quantity and is multiplied with a vector, then the result will be− a vector with the same direction as. Hence, statement III is also incorrect.
Any two vectors that have the same magnitude and the same direction of motion are equal vectors. Hence, only statement II is correct.
