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Let a = 11 - 13i and b = 35 - i. Find the complex number z such that z is a trisection point of the line segment joining a and b and z is closer to a than b.

 

Could someone help me please, thank you!

 Feb 24, 2020
 #1
avatar+24889 
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From 11 to 35   is   24       1/3 of this is   8        11 + 8 = 19

from -13 i    to   - i   is   12 i     1/3 of this is 4 i     -13 i + 4 i = -  9 i

 Feb 24, 2020
 #2
avatar+78 
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Thank you !!

rubikx2910  Mar 1, 2020

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