Calculus 1

Lesson: Introduction to Three Dimensional Geometry; Plane Sketching Directions: Solve the following problems below by showing the complete solution.

1) Find the distance between the points (2, 5, 0) and (-3, 1, 3).

2) Find the point P such that AP/AB= r, where A (4, 3, -2), B (-5, 0, 4), and r= 2/3.

3) Find the midpoint of segment AB, where A (5, -2, 3) and B (-3, 4, 7).

4) Given A (5, -2, 3), P (6, 0, 0), and AP/AB= 1/3, find B.

5) Find the unknown quantity where A (5, 1, 0), B (1, y, 20), and AB= 6.