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Determine whether the planes a 1 x + b 1 y + c 1 z = d 1 and a 2 x + b 2

Determine whether the planes

a1x + b1y + c1z = d1 and a2x + b2y + c2z = d2

are parallel, perpendicular, or neither. The planes are parallel if there exists a nonzero constant k such that

a1 = ka2,

b1 = kb2,

and

c1 = kc2,

and are perpendicular when

a1a2 + b1b2 + c1c2 = 0.

5x + y 3z = 3, 30x 6y + 18z = 8

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