Two vector quantities,whose directions can be altered at will,can have a resultant between the limits 5 and 15.The magnitudes of these two vector quantities could be
A)2 and 2
B)5 and 10
C)20 and 40
D)20 and 50
E)59 and 97

Question

Quizplus · Accepted Answer

If the two vectors are in opposite directions, then their resultant would be the difference between their magnitudes. Thus, the difference between the magnitudes of the two vectors would be between 5 and 15. The only option that satisfies this condition is B, where the difference between the magnitudes is 5, and their sum is 15. Any other option would either result in vectors with magnitudes less than 5, or a difference in magnitudes greater than 15.

Two Vector Quantities,whose Directions Can Be Altered at Will,can Have