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10 cards from this deck
r=a+λb+μc\mathbf{r} = \mathbf{a} + \lambda \mathbf{b} + \mu \mathbf{c}r=a+λb+μc
Position vector of a fixed point on the plane
Non-parallel direction vectors lying on the plane
ax+by+cz=dax + by + cz = dax+by+cz=d
Normal vector perpendicular to the plane
n=b×c\mathbf{n} = \mathbf{b} \times \mathbf{c}n=b×c
Perpendicular to both direction vectors
d=ax1+by1+cz1d = ax_1 + by_1 + cz_1d=ax1+by1+cz1
Direction vectors lie in plane; normal perpendicular to plane
Find two direction vectors from the points
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