If \( \hat{\mathrm{i}} \times[(\overrightarrow{\mathrm{a}}-\hat{\ma... VIDEO
If \( \hat{\mathrm{i}} \times[(\overrightarrow{\mathrm{a}}-\hat{\mathrm{j}}) \times \hat{\mathrm{i}}]+\hat{\mathrm{j}} \times[(\overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{k}}) \times \hat{\mathrm{j}}]+ \)
\( \mathrm{P} \)
W \( \hat{\mathrm{k}} \times[(\overrightarrow{\mathrm{a}}-\hat{\mathrm{i}}) \times \hat{\mathrm{k}}]=0 \) and \( \overrightarrow{\mathrm{a}}=x \hat{i}+y \hat{i}+z \hat{\mathrm{k}} \), then the value of \( 8\left(x^{3}-x y+x z\right) \) is equal to
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