If \( \overrightarrow{\mathrm{r}} \cdot \hat{\mathrm{i}}=2 \overrig...

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If \( \overrightarrow{\mathrm{r}} \cdot \hat{\mathrm{i}}=2 \overrightarrow{\mathrm{r}} \cdot \hat{\mathrm{j}}=4 \overrightarrow{\mathrm{r}} \cdot \hat{\mathrm{k}} \) and \( |\overrightarrow{\mathrm{r}}|=\sqrt{84} \), then the value
\( \mathrm{P} \)
W of \( \overrightarrow{\mathrm{r}} \cdot(2 \hat{\mathrm{i}}-3 \hat{\mathrm{j}}+\hat{\mathrm{k}}) \) may be
(1) 0
(2) 2
(3) 4
(4) 6
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