The component of \( \overrightarrow{\mathrm{A}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+5 \hat{\mathrm...

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The component of \( \overrightarrow{\mathrm{A}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+5 \hat{\mathrm{k}} \) perpendicular to \( \overrightarrow{\mathrm{B}}=3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}} \) is
(1) \( -\frac{4}{25} \hat{\mathrm{i}}+\frac{3}{25} \hat{\mathrm{j}}+5 \hat{\mathrm{k}} \)
(2) \( -\frac{8}{25} \hat{\mathrm{i}}-\frac{6}{25} \hat{\mathrm{j}}+5 \hat{\mathrm{k}} \)
(3) \( \frac{4}{25} \hat{\mathrm{i}}-\frac{3}{25} \hat{\mathrm{j}}+5 \hat{\mathrm{k}} \)
(4) \( +\frac{8}{25} \hat{\mathrm{i}}-\frac{6}{25} \hat{\mathrm{j}}+5 \hat{\mathrm{k}} \)
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