Question

Which of the following cannot be the resultant of 5 and 10?

1. 5
2. 8
3. 2
4. 7

Answer 1

Max. magnitude occurs when both the vectors are in the same direction.

that is |5+10|=15 N

Min. magnitude occurs when both the forces act in opposite direction.

that is |5-10|=5 N

Thus all the resultants lie between 5 N and 15 N.

Hence 2 N is the answer to the question.