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Let \( \overrightarrow{\mathrm{A}}=\hat{\mathrm{i}} A \cos \theta+\hat{\mathrm{j}} A \sin \theta \), be any vector. Another
vector \( \vec{B} \) which is normal to \( \vec{A} \) is :
(1) \( \hat{\mathrm{i} B} \cos \theta+\hat{\mathrm{j} B} \sin \theta \)
(2) \( \hat{\mathrm{i}} \mathrm{B} \sin \theta+\hat{\mathrm{j}} \mathrm{B} \cos \theta \)
(3) \( \hat{\mathrm{i}} \mathrm{B} \sin \theta-\hat{\mathrm{j}} \mathrm{B} \cos \theta \)
(4) \( \hat{\mathrm{i}} \mathrm{A} \cos \theta-\hat{\mathrm{j}} \mathrm{A} \sin \theta \)
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