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A=A1i+A2j+A3k, B=B1i+B2j+B3k. AxB=...

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  • Vektor

    A = A1i + A2j + A3k
    B = B1i + B2j + B3k
    A × B = ___?

    A × B = (A1i + A2j + A3k) × (B1i + B2j + B3k)
    A × B = A1B1(i × i) + A1B2(i × j) + A1B3(i × k) + A2B1(j × i) + A2B2(j × j) + A2B3(j × k) + A3B1(k × i) + A3B2(k × j) + A3B3(k × k)
    A × B = A1B1(0) + A1B2(k) + A1B3(-j) + A2B1(-k) + A2B2(0) + A2B3(i) + A3B1(j) + A3B2(-i) + A3B3(0)
    A × B = (A2B3 - A3B2)i + (A1B3 - A3B1)j + (A1B2 - A2B1)-k

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