For maximum resultant
P + Q=17N ........... (1)
For minimum resultant
P - Q = 7N .............. (2)
Eq(1) + (2) gives 2P = 24 Or P = \(\frac {24}{2}\) = 12N.
From (1), Q = 17 - 12 = 5N
When P and Q are in perpendicular directions,
R = \(\sqrt {P^2+O^2}\)
= \(\sqrt {12^5+5^2}\)
= 13N
(∵ cos 90° = 0).