Answers to Drop-in 1

1. a) Descartes

b) He saw a fly on the ceiling and decided he could measure its location from the walls.

2. a) See the example Cartesian graph and copy it onto your own graph paper.

b) Orthogonal or perpendicular which means that the axes are at right angles to each other (90 degrees different from each other)

3. a) The origin is the point where all three coordinate axes cross and should be labeled as (0, 0, 0).

b) Ask the teacher to check your drawing.

4. a) Draw graph and ask teacher to check it.

b) Draw a cube with sides of unit one length, width and height with one corner at the origin

and the neighboring sides on the bottom of the box along the positive X and positive Y axes.

c) (0, 0, 0), (0, 1, 0), (1, 1, 0), (1, 0, 0), (0, 0, 1), (0, 1, 1), (1, 1, 1), (1, 0, 1)

5. a) (-1, 0, 0), (-1, 1, 0), (0, 1, 0), (0, 0, 0), (-1, 0, 1), (-1, 1, 1), (0, 1, 1), (0, 0, 1)

b) (1, 3, 1), (1, 4, 1), (2, 4, 1), (2, 3, 1), (1, 3, 2), (1, 4, 2), (2, 4, 2), (2, 3, 2)

c) (-2, 3, 2), (-2, 4, 2), (-1, 4, 2), (-1, 3, 2), (-2, 3, 3), (-2, 4, 3), (-1, 4, 3), (-1, 3, 3)