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tamtam402
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How is the following operator linear??!
Is the following a linear vector function?
F(r) = r - ix
A function is linear if:
F(r1 + r2) = F(r1) + F(r2) AND F(ar) = aF(r)
F(r1 + r2) = (r1 + r2) - ix
F(r1) + F(r2) = (r1 - ix) + (r2 - ix) = (r1 + r2) - 2ix
According to me, F(r1 + r2) ≠ F(r1) + F(r2), but Mary L Boas says otherwise. What gives?
Homework Statement
Is the following a linear vector function?
F(r) = r - ix
Homework Equations
A function is linear if:
F(r1 + r2) = F(r1) + F(r2) AND F(ar) = aF(r)
The Attempt at a Solution
F(r1 + r2) = (r1 + r2) - ix
F(r1) + F(r2) = (r1 - ix) + (r2 - ix) = (r1 + r2) - 2ix
According to me, F(r1 + r2) ≠ F(r1) + F(r2), but Mary L Boas says otherwise. What gives?
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