Suppose the resultant of vectors A and B makes an angle α with A...

Let $\theta$ be the angle between vectors $\vec{A}$ and $\vec{B}$.

The resultant vector is given by $\vec{R} = \vec{A} + \vec{B}$.

Using the sine rule in the triangle formed by vector addition:

\dfrac{A}{\sin \beta} = \dfrac{B}{\sin \alpha} = \dfrac{R}{\sin(180^{}^{{}^{\circ}} - \theta)}

$\Rightarrow \dfrac{\sin \alpha}{\sin \beta} = \dfrac{B}{A}$

If $A > B$, then $\dfrac{B}{A} < 1$.

This implies $\sin \alpha < \sin \beta$.

Since \alpha + \beta = \theta \le 180^{}^{{}^{\circ}}, we get $\alpha < \beta$.

Thus, the resultant is always inclined closer to the vector with the larger magnitude.