H2 Maths 3.3 - Planes: Equations, Angles, and Distances
What you will learn
- Plane through A(1,0,2), B(3,-1,4), C(2,2,0); find Cartesian equation, angle with line l, and distance from P(4,1,-1).
- Normal n = AB x AC = (-2, 6, 5); Cartesian equation -2 x + 6 y + 5 z = 8.
- Angle between line and plane: sin theta = |d . n| / (|d| |n|) = 10 / sqrt(1365); theta about 15.7 degrees.
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Continue H2 Maths 3D Vector Geometry | Planes & Distances Notes
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