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asked ago in Mathematics by (18.9k points)

Evaluate: |(a + ib, c + id), (- c + id, a - ib)|

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Best answer

= (a + ib)(a - ib) - (c + id) (-c + id)

= (a + ib)(a - ib) + (c + id) (c - id)

= a2 - i2b2 + c2 - i2d2

= a2 + b2 + c2 + d2

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