Question

The line $\mathbf{j}$not shown, does not intersect the line $\mathbf{r}$. Must line role="math" localid="1650002977858" $\mathbf{r}$and $\mathbf{j}$be parallel?

Short answer

No,the lines$r$and$j$ must not necessarily be parallel.

Step-by-step solution

Step 1. Description of step.

Parallel lines are the lines in a plane that do not intersect each other at any point.

Step 2. Description of step.

The two lines that do not intersect and are not parallel are called skew lines.

Step 3. Description of step.

As per the given information,theline$j$ does not intersect the line $r$implies that lines$r$and $j$are either parallel or skewed.

Therefore, we can’t say that linesr and jmust be parallel.