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Coplanarity of Two Lines
For:
$$\vec r=\vec a+\lambda\vec b$$
and:
$$\vec r=\vec c+\mu\vec d$$
the lines are coplanar if:
$$(\vec c-\vec a)\cdot(\vec b\times\vec d)=0$$
Usage
- Used to distinguish intersecting/coplanar lines from skew lines.
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Coplanarity of Two Lines
For:
$$\vec r=\vec a+\lambda\vec b$$
and:
$$\vec r=\vec c+\mu\vec d$$
the lines are coplanar if:
$$(\vec c-\vec a)\cdot(\vec b\times\vec d)=0$$
Usage
- Used to distinguish intersecting/coplanar lines from skew lines.
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