Problem

(a) Find the distance from the point (−2, 1, 5) to any point on the line x =3t − 5, y =1...

(a) Find the distance from the point (−2, 1, 5) to any point on the line x =3t − 5, y =1 − t, z =4t + 7. (Your answer should be in terms of the parameter t.)

(b) Now find the distance between the point (−2, 1, 5) and the line x = 3t − 5, y = 1 − t, z = 4t + 7. (The distance between a point and a line is the distance between the given point and the closest point on the line.)

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