Find the vector equation for a line that passes through the point P=(−5, −7, 8) and intersects L at a point that is distance 2 from the point Q=(−1, 6, −4). Note that there are two possible correct answers. Use the square root symbol '√' where needed to give an exact value for your answer.

Engineers find a new metal that is stronger than steel but much lighter. this material is also significantly cheaper than what is currently used for most aircraft, available in large quantities, and easy to manufacture. the engineers are excited because this new material will lower the costs of buying and operating airplanes for companies. what is probably the best step for the engineers to make next?