11. Plot coordinates on a three-dimensional Cartesian coordinate system and use relationships between coordinates to solve design problems.
a. Describe the features of a three-dimensional Cartesian coordinate system and use them to graph points.
b. Graph a point in space as the vertex of a right prism drawn in the appropriate octant with edges along the x, y, and z axes.
c. Find the distance between two objects in space given the coordinates of each.
Examples: Determine whether two aircraft are flying far enough apart to be safe; find how long a zipline cable would need to be to connect two platforms at different heights on two trees.
d. Find the midpoint between two objects in space given the coordinates of each.
Example: If two asteroids in space are traveling toward each other at the same speed, find where they will collide. |