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Is it possible two unequal vector to give a zero resultant?
The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
What is an example when resultant force is zero but resultant torque is not zero?
A couple: 2 parallel forces equal in magnitude, but opposite in direction separated by a distance.
Is it possible to combine two unequal vectors to give a zero resultant?
No.
Two equal forces f and f make an angle of 180 with each other the magnitude of their resultant is?
Zero.
What is the minimum number of unequal vectors that give a zero resultant?
Three One is obviously out. Two is out because if two unequal forces n and p act on an object the resultant with the minimum force in magnitude is |n - p|, which will never be 0 if n =/= p. Three can be easily resolved with a quick example. Imagine an object with three concurrent forces acting on it. Two forces, n = 3 N and p = 4 N, create an angle with each other such that the resultant is 5 N. 180 degrees from the resultant, a force, r = 5 N, is acting on the object. Thus three unequal vectors on an object can result in 0.
