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precalculus

Given vectors u=(-6,4) and v=(3,3), determine if the vectors are orthogonal. if they are not orthogonal, find the angle between the two vectors.

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  1. These are the choices:

    a) The vectors are orthogonal
    b) The vectors are not orthogonal. The angle between the two vectors is 72.5°
    c) The vectors are not orthogonal. The angle between the two vectors is 101.3°
    d) The vectors are not orthogonal. The angle between the two vectors is 130.6°

    I feel like it might be a just because the angle I got between the two isn't an option.

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  2. u•v = |u| |v| cosθ
    if u⊥v then u•v = 0
    (-6,4)•(3,3) = -18+12 ≠ 0
    so what angle θ has cosθ = -6/√936 ?

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    oobleck
  3. C. The vectors are not orthogonal. The angle between the two vectors is 101.3 degrees

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