Answer:
No A vector \[\vec{A}\]in three
dimensions can be written as \[\vec{A}={{\text{A}}_{\text{x}}}\text{i }+\text{
}{{\text{A}}_{\text{y}}}\text{j }+\text{ }{{\text{A}}_{\text{z}}}\text{k}\];
where\[A=\sqrt{A_{x}^{2}+A_{y}^{2}+A_{z}^{2}}\]
Therefore, if any of \[{{\text{A}}_{\text{x}}},{{\text{A}}_{\text{y}}},{{\text{A}}_{\text{z}}}\]
is not zero, vector \[\vec{A}\]cannot be zero. It means a vector can be zero
only if all its components are zero.
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