theorem Th34: :: ANPROJ_8:40

for p, q, r being Point of (TOP-REAL 3)
for M being Matrix of 3,F_Real st M = <*<*(p `1),(p `2),(p `3)*>,<*(q `1),(q `2),(q `3)*>,<*(r `1),(r `2),(r `3)*>*> & the_rank_of M < 3 holds
ex a, b, c being Real st
( ((a * p) + (b * q)) + (c * r) = 0. (TOP-REAL 3) & ( a <> 0 or b <> 0 or c <> 0 ) )