Question

If the final position vector of a moving object has a smaller magnitude than the initial position vector, then the change in the object's position vector has a positive magnitude.

Answer 1

Explanation:

The given statement is absolutely true.  this is because magnitude of a vector is always non negative, it can not be zero unless its a zero vector. So, in the given question, final position vector of a moving object has a smaller magnitude than the initial position vector, so, magnitude is neither zero nor negative. Hence, it has a positive magnitude.