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7 November, 01:07

How would you determine how much error there is between a vector addition and the real results

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  1. 7 November, 03:43
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    Desired operation: A + B = C; {A, B, C) are vector quantities.

    Issue: {A, B} contain error (measurement or otherwise)

    Objective: estimate the error in the vector sum.

    Let A = u + du; where u is the nominal value of A and du is the error in A

    Let B = v + dv; where v is the nominal value of B and dv is the error in B

    Let C = w + dw; where w is the nominal value of C and dw is the error in C [the objective]

    C = A + B

    w + dw = (u + du) + (v + dv)

    w + dw = (u + v) + (du + dv)

    w = u+v; dw = du + dv

    The error associated with w is the vector sum of the errors associated with the measured quantities (u, v)
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