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Question Number 21124 by Joel577 last updated on 13/Sep/17

Answered by Tinkutara last updated on 13/Sep/17

Here w can be taken as −x+iy.  ∴−iw=i(x−iy)=y+ix, which is in 1^(st)   quadrant. Hence w will be A.

$${Here}\:{w}\:{can}\:{be}\:{taken}\:{as}\:−{x}+{iy}. \\ $$$$\therefore−{iw}={i}\left({x}−{iy}\right)={y}+{ix},\:{which}\:{is}\:{in}\:\mathrm{1}^{{st}} \\ $$$${quadrant}.\:{Hence}\:{w}\:{will}\:{be}\:{A}. \\ $$

Commented by Joel577 last updated on 13/Sep/17

thank you very much

$${thank}\:{you}\:{very}\:{much} \\ $$

Answered by sma3l2996 last updated on 13/Sep/17

w=∣w∣e^(iθ)   so  −iw=∣w∣e^(iθ+((3π)/2)) =A

$${w}=\mid{w}\mid{e}^{{i}\theta} \\ $$$${so}\:\:−{iw}=\mid{w}\mid{e}^{{i}\theta+\frac{\mathrm{3}\pi}{\mathrm{2}}} ={A} \\ $$

Commented by Joel577 last updated on 14/Sep/17

thank you very much

$${thank}\:{you}\:{very}\:{much} \\ $$

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