First slide
Planes in 3D
Question

The equation of a line passing through the point a parallel to the plane  rn=q and perpendicular to the line r=b+tc  is

Moderate
Solution

Required line is parallel to n×c

The equation of a line r=a+λ(n×c)

(ra)=λ(n×c)

 (ra)×(n×c)=0

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