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  4. Under what condition do the planes bx - ay = n, cy - bz = l , az - cx = m intersect in a line?

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Q. Under what condition do the planes bx - ay = n, cy - bz = l , az - cx = m intersect in a line?

Three Dimensional Geometry

Solution:

The planes $bx - ay = n, cy - bz = l$ and $az - cx = m$
intersect in a line, if $al + bm + cn = 0$.