A vector can be multiplied by number. Thenumber may beA. dimensionlessB. dimensional scalarC. negativeD. all a, b and c are correct
Question
A vector can be multiplied by a number. The number may be:
- A. dimensionless
- B. dimensional scalar
- C. negative
- D. all a, b and c are correct
Solution
D. All a, b and c are correct
Explanation:
A. Dimensionless - A vector can be multiplied by a dimensionless number. This is because the dimensionless number simply scales the magnitude of the vector without changing its direction.
B. Dimensional scalar - A vector can also be multiplied by a dimensional scalar. This is because the dimensional scalar can change the units of the vector, but not its direction.
C. Negative - A vector can be multiplied by a negative number. This will reverse the direction of the vector, but not change its magnitude.
Therefore, all of the options A, B, and C are correct.
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