Question:
Show that the following planes are at right angles:
(i) $\overrightarrow{\mathrm{r}} \cdot(4 \hat{\mathrm{i}}-7 \hat{\mathrm{j}}-8 \hat{\mathrm{k}})=5$ and $\overrightarrow{\mathrm{r}} \cdot(3 \hat{\mathrm{i}}-4 \hat{\mathrm{j}}+5 \hat{\mathrm{k}})+10=0$
(ii) $\overrightarrow{\mathrm{r}} \cdot(2 \hat{\mathrm{i}}+6 \hat{\mathrm{j}}+6 \hat{\mathrm{k}})=13$ and $\overrightarrow{\mathrm{r}} \cdot(3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}-5 \hat{\mathrm{k}})+7=0$
Solution:
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