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19 February, 21:42

Determine whether the vectors u and v are parallel, orthogonal, or neither.

u =, v =

Orthogonal

Parallel

Neither

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Answers (1)
  1. 19 February, 22:10
    0
    The dot product here is 10 (9) + 6 (5) = 120

    so the vectors are not orthogonal

    u. v = |u| x |v| cos (theta); theta is the angle between them

    we know from above that u. v = 120

    |u| = sqrt[10^2+6^2]=11.66

    |v| = sqrt[9^2+5^2]=10.29

    so we know:

    theta = cos^-1 120 / (11.66x10.29)

    so theta = 25 degrees
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