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(-4,b,3) ; (b,b²,b)

Dot product of Orthogonal is equal to zero.

(-4b) + (bb²) + (3*b) = 0
-4b + b³ + 3b = 0
b³ - b = 0

b can only have the value of 1 for the given vectors to be orthogonal.

b = 1

1³ - 1 = 0
1 - 1 = 0
0 = 0

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