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If (a,b) = a+ bi then (0,1)^39 = ? A) (1,0) B (-1,0) C (0,-1) d(0,1)?

Science & Mathematics by Anonymous 2018-06-15 09:01:43

Social Science

If (a,b) = a+ bi then (0,1)^39 = ? A) (1,0) B (-1,0) C (0,-1) d(0,1)?

3 answers

  • Anonymous

    Ans. C

  • Anonymous

    (0, 1)² = i² = -1 and so (0, 1)⁴ = i⁴ = 1. Knowing this, we now won't need to use i in our calculations. (0, 1)³⁹ = (0, 1)² ((0,1)⁴)⁹ (0, 1)¹ = -1 × 1⁹ × (0, 1) = -(0,1) = (0,-1) which is answer C

  • Anonymous

    (0, 1)³⁹ = i³⁹ = (i⁴)⁹(i³) = (1)⁹(-i) = -i = (0, -1)

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