Since vectors always have positive magnitudes,the sum of two vectors must have a magnitude greater than the magnitude of either one of them.

Question

Quizplus · Accepted Answer

This statement is false. The magnitude of the sum of two vectors can be less than, equal to, or greater than the magnitude of either one of them. It depends on the angle between the two vectors. For example, if the two vectors are pointing in opposite directions, their sum will have a smaller magnitude than either one of them.

Since Vectors Always Have Positive Magnitudes,the Sum of Two Vectors