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29 December, 16:04

Two vectors are presented as a=3.0i + 5.0j and b=2.0i+4.0j find (a) a x b, ab (c) (a+b) b and (d) the component of a along the direction of

b.

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  1. 29 December, 18:04
    0
    Let's ask this question step by step:

    Part A)

    a x b = (3.0i + 5.0j) x (2.0i + 4.0j) = (12-10) k = 2k

    ab = (3.0i + 5.0j). (2.0i + 4.0j) = 6 + 20 = 26

    Part (c)

    (a + b) b = [ (3.0i + 5.0j) + (2.0i + 4.0j) ]. (2.0i + 4.0j)

    (a + b) b = (5.0i + 9.0j). (2.0i + 4.0j)

    (a + b) b = 10 + 36

    (a + b) b = 46

    Part (d)

    comp (ba) = (a. b) / lbl

    a. b = (3.0i + 5.0j). (2.0i + 4.0j) = 6 + 20 = 26

    lbl = root ((2.0) ^ 2 + (4.0) ^ 2) = root (20)

    comp (ba) = 26 / root (20)

    answer

    2k

    26

    46

    26 / root (20)
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