Equation of Plane Through Origin and Two Direction Vectors

Rarely Tested

Equation of Plane Through Origin and Two Direction Vectors

If a plane passes through the origin and contains two non-parallel direction vectors $$\vec a$$ and $$\vec b$$, then:

$$\vec r\cdot(\vec a\times\vec b)=0$$

Usage

- Used to find a plane through the origin containing two specified directions.

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