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2 July, 12:41

Find the inner product for (7, 2) * (0, - 2) and state whether the vectors are perpendicular.

a. - 4; no

b. - 4; yes

c. 4; no

d. 4; yes

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Answers (2)
  1. 2 July, 12:47
    0
    Answer: A

    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 (7,2) and (0,-2) the inner product would be

    (7 * 0) + (2 * - 2)

    = 4

    The vectors are only perpendicular when the inner product is equal to 0. Since it is equal to - 4 in this case, the vectors are not perpendicular.

    A - 4; no
  2. 2 July, 12:48
    0
    a) - 4, no

    Step-by-step explanation:

    a•b = (x1 * x2) + (y1 * y2)

    = (7 * 0) + (2 * - 2)

    = 0 - 4

    = - 4

    Hence they are not Perpendicular
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