Question

Planes Q and R are parallel. Explain how you know lines a and b are skew.Name at least three physical properties of the bowling ball.

Answer 1

Parallel planes Q and R ensure lines a and b are skew because they do not intersect and are not parallel. For a bowling ball, mass, surface roughness, and hardness are three relevant physical properties.

Step-by-step explanation:

If Planes Q and R are parallel, and line a lies on plane Q while line b lies on plane R, lines a and b do not intersect each other because parallel planes never meet. Consequently, lines a and b are neither parallel nor intersecting, making them skew lines. Skew lines are two lines that do not intersect and are not parallel, often because they exist in different planes.

Regarding a bowling ball, one can discuss various physical properties:

• The mass of the ball is a measure of its inertia, with standard bowling balls ranging from 6 to 16 pounds.
• The surface roughness or texture affects the ball's interaction with the lane, influencing its motion and hook potential.
• The hardness of the ball's surface is vital for determining how it reacts upon contact with the bowling lane and pins.