Question

The magnitude of a vector can be positive or negative The magnitude of a vector can be less than the magnitude of one of its components. If the magnitude of vector A is less than the magnitude of vector B, then the x-component of A is less than the x-component of B. None of the statements are accurate

Answer 1

Answer:

If magnitude of vector A is less than magnitude of vector B then its x-component will be also less      

Explanation:

In first case magnitude can never be negative -ve sign shows the direction only so it is incorrect statement.

The magnitude of any vector can never be less than its component because component of vector is found with the multiplication of sine and cos angle which values lies between 0 and 1 so after multiplication it gives less value than the vector

If magnitude of any vector is less then its x component will also be less because magnitude of component is dependent on the magnitude of vector