3-Geometry-Solid-Plane-Form

intercept form of plane

Plane can have equation x/a + y/b + z/c = 1 {intercept form, plane}, where a, b, c are x-axis, y-axis, and z-axis intercepts.

normal form of plane

Plane can have equation x * cos(a) + y * cos(b) + z * cos(c) = p {perpendicular form} {normal form, plane}, where p is perpendicular distance from origin to plane, and a, b, c are angles between perpendicular and x y z axes.

three-point form

Plane can have matrix |x y z 1 / x1 y1 z1 1 / x2 y2 z2 1 / x3 y3 z3 1| {three-point form}, where (xi,yi,zi) are points.

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3-Geometry-Solid-Plane

Drawings

Drawings

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Date Modified: 2022.0225