Let-z-1-1-i-z-2-1-i-and-z-3-be-complex-numbers-such-that-z-1-z-2-and-z-3-form-an-equilateral-triangle-Then-z-3-is-equal-to-A-3-1-i-B-3-1-i-C-3

Question Number 140113 by EnterUsername last updated on 04/May/21

Let z_{1} = 1 + i, z_{2} = - 1 - i and z_{3} be complex numbers

such that z_{1}, z_{2} and z_{3} form an equilateral triangle .

Then z_{3} is equal to

(A) \sqrt{3} (1 + i) (B) \sqrt{3} (1 - i)

(C) \sqrt{3} (i - 1) (D) \sqrt{3} (- 1 - i)

Commented by mr W last updated on 04/May/21

z_{3} m u s t b e i n 2^{n d} o r 4^{t h} q u a d r a n t,

t h e r e f o r e o n l y (B) i s c o r r e c t .

Commented by EnterUsername last updated on 04/May/21

Sir (C) has also been noted as correct answer .

How did you get there, please ?

Commented by mr W last updated on 04/May/21

i m i s r e a d . (C) i s i n 2^{n d} q u a d r a n t, s o

i t i s a l s o c o r r e c t .

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