The magnitude of a given vector with end points $ (4, -4, 0)$ and $(-2, -2, 0)$ must be
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Two vectors $\overrightarrow{{X}}$ and $\overrightarrow{{Y}}$ have equal magnitude. The magnitude of $(\overrightarrow{{X}}-\overrightarrow{{Y}})$ is ${n}$ times the magnitude of $(\overrightarrow{{X}}+\overrightarrow{{Y}})$. The angle between $\overrightarrow{{X}}$ and $\overrightarrow{{Y}}$ is -
If the resultant of $n$ forces of different magnitudes acting at a point is zero, then the minimum value of $n$ is