a) n1=(1,1,3),n2=(1,2,−1)
n1⋅n2=1(1)+1(2)+3(−1)=0 The given planes are perpendicular.
b) n1=(3,−2,1),n2=(4,2,−4)
n1⋅n2=3(4)−2(2)+1(−4)=4=0
34=−22
The given planes are neither perpendicular nor parallel.
c) n1=(3,1,1),n2=(−1,2,1)
n1⋅n2=3(−1)+1(2)+1(1)=0 The given planes are perpendicular.
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