Model #107 (Intersecting Planes) This model is made of a grooved wooden base and 4 clear acrylic planes which are easily assembled to form the 3-D coordinate system shown in photo 1. All eight octants of the system may be viewed. A hole at the system origin may be used for securing the vector or line of choice. | |
Assembled model. |
This shows the use of "D Sticks" combined to illustrate head-to-tail vector addition of the blue and yellow vectors resulting in the green vector, with projections to the 3 planes shown using water-soluble overhead markers. |
This shows how another plane may be arranged in one of the octants. |
This shows how points on a line may intersect 3 planes and how 3 points on the same plane may be points of a straight line. |
This shows 3 points on 3 different planes, indicating how a different plane may be represented which is not perpendicular to the coordinate system. |
This photo shows that the intersection of 2 planes is a straight line (as indicated by the red, blue, and black lines). |