Imaginary Unit Question 3/i?

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3/i ??

Write the quotient in the form a+bi?

2007-11-18 13:15:06 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

1/i = -i

( i^2 = -1 ----> 1 = -i^2 , hence 1/i = -i^2/i = -i )

3/i = -3i

3/i = 0 -i3

2007-11-18 13:18:12 · answer #1 · answered by Anonymous · 0⤊ 0⤋

Multiply by i/i

3i/(i^2)

i^2 = -1

So -3i

a=0 and b=-3

0 - 3i

2007-11-18 21:18:15 · answer #2 · answered by Anonymous · 0⤊ 0⤋

3/i = -3i, since i*-i = 1.

2007-11-18 21:52:03 · answer #3 · answered by steiner1745 7 · 0⤊ 0⤋

(3/i)(i/i) = 3i / -1 = -3i
a+bi => 0 + (-3i)

2007-11-18 21:18:40 · answer #4 · answered by UnknownD 6 · 0⤊ 0⤋

3/sqrt(-1)
3sqrt(-1)/(-1)
-3i
0 - 3i

2007-11-18 21:18:28 · answer #5 · answered by Anonymous · 0⤊ 0⤋