PHY

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The components of a vector V can be written (Vx, Vy, Vz).
What are the components and length of a vector which is the sum of the two vectors, V1 and V2, whose components are (5.0, 1.3, -15.0) and (2.3, -4.7, -1.0)?

  • PHY -

    Add the components for the vector sum
    You get (7.3, -3.4, -16.0)

    The length of any vector is the square root of the sum of the squares of the components.

  • PHY -

    Vx = 5.0+2.3
    Vy = 1.3-4.7
    Vz = -16

    length = sqrt (Vx^2+Vy^2+Vz^2)

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