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13 July, 04:57

Find the inner product for (7.2) (0,-2) and state whether the vectors are perpendicular.

a. - 4; no

c. 4; no

b. - 4; yes

d. 4; yes

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  1. 13 July, 05:53
    0
    a. - 4; no

    Step-by-step explanation:

    Suppose we have two vectors, a and b.

    a = (1,2)

    b = (2,3)

    Their inner product is:

    a. b = (1,2). (2,3) = 1*2 + 2*3 = 8

    The vectors are perpendicular if their inner product is 0.

    In this question:

    a = (7,2)

    b = (0,-2)

    So

    a. b = (7,2). (0,-2) = 7*0 + 2 * (-2) = - 4

    -4 is different of 0, so they are not perpendicular.

    So the corret answer is:

    a. - 4; no
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