1. The problem asks for the magnitude of the resultant vector given multiple vectors. 2. To find the magnitude of the resultant vector, first sum the components of all vectors in the x-direction and y-direction separately. 3. Suppose the vectors are $\vec{A} = (A_x, A_y)$ and $\vec{B} = (B_x, B_y)$, then the resultant vector $\vec{R} = (R_x, R_y)$ where: $$ R_x = A_x + B_x $$ $$ R_y = A_y + B_y $$ 4. The magnitude of the resultant vector $|\vec{R}|$ is given by the Pythagorean theorem: $$ |\vec{R}| = \sqrt{R_x^2 + R_y^2} $$ 5. Substitute the values of $R_x$ and $R_y$ to calculate the magnitude. 6. This method applies to any number of vectors by summing all their x-components and y-components respectively before calculating the magnitude.