Assertion (A) : For the lines \(\overline{\mathrm{r}}=\overline{\mathrm{a}}+\mathrm{t} \overline{\mathrm{b}}\) and \(\overline{\mathrm{r}}=\overline{\mathrm{p}}+\mathrm{s} \overline{\mathrm{q}}\), if \((\bar{a}-\bar{p}) \cdot(\bar{b} \times \bar{q}) \neq 0\), then the two lines are coplanar
Reason (R) : \(\quad|(\bar{a}-\bar{p}) \cdot(\bar{b} \times \bar{q})|\) is \(|\bar{b} \times \bar{q}|\) times the shortest distance between the lines \(\overline{\mathrm{r}}=\overline{\mathrm{a}}+\mathrm{tb}\) and \(\overline{\mathrm{r}}=\overline{\mathrm{p}}+\mathrm{s} \overline{\mathrm{q}}\).

1. A (A) is true, (R) is true and (R) is correct explanation to (A)
2. B (A) is true, (R) is true and (R) is not the correct explanation to (A)
3. C (A) is true, (R) is false
4. D (A) is false, (R) is true