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11 July, 21:29

Find the inner product for (-8, 2) * (4.5, 18) and state whether the vectors are perpendicular.

a. 1; no

b. 1; yes

c. 0; no

d. 0; yes

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Answers (2)
  1. 11 July, 21:34
    0
    d

    Step-by-step explanation:

    a•b = (x1 * x2) + (y1 * y2)

    = (-8 * 4.5) + (2 * 18)

    = - 36 + 36

    = 0

    Hence they are Perpendicular
  2. 11 July, 21:49
    0
    Answer: D

    Step-by-step explanation:

    To find the inner product of two vectors (a, b) and (c, d) you would use the equation (a * c) + (b * d)

    So for (-8,2) and (4.5,18) the inner product would be

    (-8 * 4.5) + (2 * 18)

    = 0

    The vectors are only perpendicular when the inner product is equal to 0. Since it is equal to 0 in this case, the vectors are perpendicular.

    D - 0; yes
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