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Forces vectors P and Q. Resultant R.

R² = P² + Q² + 2 P Q Cos θ 5² = P² + Q² --- 1 as θ= 90 ⁰

(√13² = P² + Q² + 2 P Q Cos 120⁰ 13 = P² + Q² - PQ ---- 2

solving these equations, P Q = 12

Now P² + Q² + 2 P Q = 49 => P + Q = 7 N taking only positive values. ---- 3 Also P² + Q² - 2 P Q = 1 => P - Q = 1 N ----- 4