Calculus

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2. Give that the vectors u=[2, t, -4] and v=[1, -3, t-4] are perpendicular, find the value of the constant, t.

  • Calculus -

    Two vectors u and v are perpendicular if the dot product u.v=0.
    Do the multiplication and equate to zero to solve for t.

  • Calculus -

    You want u.v=0

    2 - 3t - 4(t-4) = 0
    t = 18/7

    like that?

  • Calculus -

    Correct!

  • Calculus -

    thanks!

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