Question

In the diagram above,_{$\mathbf{r}\mathbf{\parallel }\mathbf{s}$}.

Lines$\mathbf{a}\mathbf{,}\mathbf{}\mathbf{b}$ and$\mathbf{c}$ are coplanar $\mathbf{a}\mathbf{\parallel }\mathbf{b}$and $\mathit{a}\mathbf{\perp }\mathit{c}$. What can you conclude? Explain.

Short answer

We can conclude that$\mathbf{b}\mathbf{\perp }\mathbf{c}$.

Step-by-step solution

Step 1. Description of step.

The lines that lie on the same plane are called coplanar lines.

Step 2. Description of step.

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

Perpendicular lines are the lines that intersect each other at right angles.

Step 3. Description of step.

As per the given information, lines$a,b$ and$c$ are lie on the same plane,$a\parallel b$ and$a\perp b$ then by property of parallel lines,$b$ must be perpendicular to $c$.

Therefore, $b\perp c$.