For any complex numbers `z_1,z_2 and z_3, z_3 Im(bar(z_2)z_3) +z_2Im(bar(z_3)z_1) + z_1 Im(bar(z_1)z_2)` is

Question

For any complex numbers `z_1,z_2 and z_3, z_3 Im(bar(z_2)z_3) +z_2Im(bar(z_3)z_1) + z_1 Im(bar(z_1)z_2)` is

For any complex numbers `z_1,z_2 and z_3, z_3 Im(bar(z_2)z_3) +z_2Im(bar(z_3)z_1) + z_1 Im(bar(z_1)z_2)` is
A. `0`
B. `z_(1)+z_(2)+z_(3)`
C. `z_(1)z_(2)z_(3)`
D. `((z_(1)+z_(2)+z_(3))/(z_(1)z_(2)z_(3)))`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
`(a)` `z_(1)((barz_(2)z_(3)-z_(2)barz_(3))/(2i))+z_(2)((barz_(3)z_(1)-z_(3)barz_(1))/(2i))+z_(3)((barz_(1)z_(2)-z_(1)barz_(2))/(2i))=(1)/(2i)xx0=0`

5 views Answered 2023-02-05 15:29