Two forces F<sub>1</sub> and F<sub>2</sub> are used to pull a car, which met an accident. The angle between the two force is θ. Find the value of θ for the resultant force is equal to <span class="math-tex">\(\sqrt{(F_1^2 + F_2^2)}\)</span>
The resultant force of two vectors \( F_1 \) and \( F_2 \) is: \[ \sqrt{F_1^2 + F_2^2 + 2 F_1 F_2 \cos \theta} \] When \( \theta = 90^\circ \), the resultant force becomes: \[ \sqrt{F_1^2 + F_2^2} \] Thus, when \( \theta = 90^\circ \), the resultant force is given by the above expression.
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