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15 March, 08:38

For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated list.)

(-4, b, 3), (b, b^2, b)

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  1. 15 March, 12:21
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    (-4, b, 3); (b, b², b)

    Dot product of Orthogonal is equal to zero.

    (-4*b) + (b*b²) + (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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