The magnitudes of two vectors vector a and vector b are a = 6 units and b = 1 units.

5 units

Explanation:

Given

magnitude of vector A

magnitude of vector B

Smallest value of vector addition can be obtained when they are at angle of

i.e.  

where R is resultant vector

when two vectors are apart then they Produce minimum magnitude vector

The force of impact is same for both objects.

Explanation:

It is given that,

Speed of the car, v = 100 km/h

It is understood that the mass of car is more than that of the bug. When one object strikes another object, they both applies a force on each other. One object applies the same force on another object when they strikes as per Newton's third law of motion.

In this case, when a car strikes a bug, the force of impact is the same for both. Hence, the correct option is (c).