cross product

Three vectors $\vec{p}$, $\vec{q}$, and $\vec{r}$ are given as $\vec{p} = \hat{i} + \hat{j} + \hat{k}$ $\vec{q} = \hat{i} + 2\hat{j} + 3\hat{k}$ $\vec{r} = 2\hat{i} + 3\hat{j} + 4\...

If $$\overrightarrow a $$ and $$\overrightarrow b $$ are two arbitrary vectors with magnitudes $$a$$ and $$b$$ respectively, $${\left| {\overrightarrow a \times \overrightarrow b }...