1 Chalkboard
Figure 1: Equation of plane
Figure 2: Another solution equation of plane
2 How can we find the equation of the plane containing 3 points?
2.1 Front
How can we find the equation of the plane containing 3 points?
Points: \(P_1, P_2, P_3\)
2.2 Back
- Vector \(\vb{P_1P_2}\) and \(\vb{P_1P_3}\)
- \(\vb{N} = \vb{P_1P_2} \cross \vb{P_1P_3}\)
- \(\vb{N}\) is perpendicular to the plane
- \(\vb{N}\) is normal to the plane
- Vector to any other point in the plane
- \(\vb{P_1P} = \ev{x - a_1, y - a_2, z - a_3}\)
- \(\vb{N} \cdot \vb{P_1P} = 0\)
