Question

The vector sum of the forces of 10N and 6N can be
(a) 2N
(b) 8N
(c) 18N
(d) 20N

Answer 1

Maximum resultant of vectors = 10 + 6 = 16 N
Minimum resultant of vectors = 10 - 6 = 4 N

Force should lie in between maximum and minimum resultant of vectors.
In given options all except (b) are not in the range of maximum and minimum resultant of vectors. Hence correct option is (b)

Answer 2

Answer: the correct answer is 8N.

Explanation:

According to the question,

The vector sum of the forces of 10N and 6N can be

As the magnitude of  $\underset{A}{\rightarrow} +\underset{B}{\rightarrow}$ has to be between A-B and A+B ie,

10-6, or 4 and 16 ≈ 8N

So the correct answer is 8N.

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