Consider the following Assertion (A): The two lines $\bar{r}=\bar{a}+t(\bar{b})$ and $\bar{r}=\bar{b}+s(\bar{a})$ intersect each other. Reason (R): The shortest distance between the lines $\bar{r}=\bar{p}+t(\bar{q})$ and $\bar{r}=\bar{c}+s(\bar{d})$ is equal to the length of projection of the vector $(\bar{p}-\bar{c})$ on $(\bar{q} \times \bar{d})$ The correct answer is

• Correct answer
  A

  Both (A) and (R) are true and (R) is the correct explanation of (A)
• B

  Both (A) and (R) are true and (R) is not the correct explanation of (A)
• C

  (A) is true, but (R) is false
• D

  (A) is false, but (R) is true

Hence, the correct answer is option: 'A'.