Sum Of Unit Vectors?

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write MN as the sum of unit vectors for M(-3/4, 5, 2/3) and N(6, -9, 3/5).

Someone help me please?

  • Sum Of Unit Vectors? -

    vector MN = [6+3/4 , -9-5 , 3/5-2/3]
    = [ 27/4 , - 14 , -1/15]

    magnitude of MN = √(729/16+ 196 + 1/225)
    = √(870354/3600)
    = appr. 15.549

    so a unit vector in the direction of MN
    = 1/15.549 [27/4, -14, -1/15]
    = [ .434 , -.900 , -.004]

    check: .434^2 + (-.9)^2 + (.004)^2 = .99918 (very close to 1, that's good)

    so [ .434 , -.900 , -.004]
    = .434[1,0,0] - .9[0,1,0] - .004[0,0,1]

  • Sum Of Unit Vectors? -

    Thank you so much for providing a clear explanation!! :)

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