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.

Aswimmer is determined to cross a river that flows due south with a strong current. initially, the swimmer is on the west bank desiring to reach a camp directly across the river on the opposite bank. in which direction shoud the swimmer head? a. the swimmer should swim southeast. b. the swimmer should swim south. c. the swimmer shuold swim northeast. d. the swimmer should swim due north. e. the swimmer should swim due east.