Question:
Show that the vectors $\overrightarrow{\mathrm{a}}=(\hat{\mathrm{i}}+3 \hat{\mathrm{j}}+\hat{\mathrm{k}}), \overrightarrow{\mathrm{b}}=(2 \hat{\mathrm{i}}-\hat{\mathrm{j}}-\hat{\mathrm{k}})$ and $\overrightarrow{\mathrm{c}}=(7 \hat{\mathrm{j}}+3 \hat{\mathrm{k}})$ are parallel to the same plane.
\{HINT: Show that $\left[\begin{array}{lll}\overrightarrow{\mathrm{a}} & \overrightarrow{\mathrm{b}} & \overrightarrow{\mathrm{c}}\end{array}\right]=0_{\}}$
Solution:
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