Linear Dependence of Three Vectors

Rarely Tested

Linear Dependence of Three Vectors

Three vectors $$\vec a,\vec b,\vec c$$ are linearly dependent if:

$$\lambda\vec a+\mu\vec b+\nu\vec c=\vec 0$$

where at least one of $$\lambda,\mu,\nu$$ is non-zero.

Usage

- Used to identify whether three vectors are coplanar.

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