Two forces of magnitude 20N and 40N are acting on a particles such that the angle between them is 135 if both the forces are acting away from the particle calculate their resultant

Question

Two forces of magnitude 20N and 40N  are acting on a particles  such that the angle between them is 135 if both the forces are acting away from the particle calculate their resultant

dumbcow · Answer

|dw:1410199033284:dw|
resultant vector is the sum of the components

$$\rightarrow <40\cos135 + 20, 40 \sin 135>$$
magnitude:
$$\sqrt{(40 \cos135 +20)^2 + (40\sin 135)^2}$$