Question

Two vectors of magnitude $15$ and $9$ are added together in various combinations. In which case does the resultant of two vectors have the least magnitude?

• A. The vectors are in the same direction
• B. The vectors are in opposite directions
• C. The vectors are perpendicular
• D. The vectors form an angle between $0$ and $90$ degrees

Answer 1

The correct option is B The vectors are in opposite directions

For the resultant vector to have least magnitude, both vector must be in opposite direction.

Least magnitude, $R_{min}=|15-9|=6$ units