# Given two vectors and its resultant force [closed]

Given vector a with an angle of 15 degrees from the x-axis, vector b with an angle of 25 degrees from the other side of the x-axis, and 100N as a resultant force, find the forces applied by the vectors

## closed as off-topic by Zain Patel, Siong Thye Goh, Leucippus, C. Falcon, ShaileshJun 6 '17 at 0:57

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• What do you mean by other side of x axis? 25 degrees from negative x axis? – mathnoob123 Jun 5 '17 at 22:38
• yes, something like that – jrdp1803 Jun 5 '17 at 22:39

Sum of forces $$F_1 \cos 15 + F_2 \cos 65 = 100 \tag{1}$$
Law of cosines $$100^2 = F_1^2 + F_2^2 - 2 F_1 F_2 \cos 140 \tag{2}$$