Let a =3 i +2 j +x k and b = i - j + k, for some real x. Then | a × b |= r is possible if:

Let $\displaystyle \overrightarrow{\mathrm{a}}=3 \hat{i}+2 \hat{j}+x \hat{k}$ and $\displaystyle \overrightarrow{\mathrm{b}}=\hat{i}-\hat{j}+\hat{k}$, for some real $\displaystyle x$. Then $\displaystyle |\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}|=\mathrm{r}$ is possible if: