The following are four points (encoded using the traditional rectangular coordinate system) that…

The following are four points (encoded using the traditional rectangular coordinate system) that represent the vertices of a planar patch. Describe the shape of the patch. (For those without a background in analytic geometry, each triple tells you how to reach the point in question beginning at the corner of a room. The first number tells you how far to walk along the seam between the floor and the wall on your right. The second number tells you how far to walk out into the room in a direction parallel to the wall on your left. The third number tells you how far to climb up from the floor. If a number is negative, you will have to pretend that you are a ghost and can walk backward through walls and floors.)

(0, 0, 0)

(0, 1, 1)

(0, 2, 1)

(0, 1, 0)

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