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$\vec{A}$ can be written in terms of components as $\vec{A} = A_{x}\hat{i} + A_{y}\hat{j} + A_{z}\hat{k}$. When will $|\vec{A}|$ be zero
Explanation
$\vec{A} = Ax\hat{i} + Ay\hat{j} + Az\hat{k}$; $|\vec{A}| = \sqrt{({Ax}^{2} + {Ay}^{2} + {Az}^{2})}$ $\therefore$ Even if one component is non-zero the sum $Ax^{2} + Ay^{2} + Az^{2}$ can't be zero. $\therefore$ for $|\vec{A}| = 0$, $Ax = Ay = Az = 0$.
