5. Given the triangle in the figure below, use complex numbers to rotate it 7/3 radians clockwise and enlarge it by a factor of 2. 736 4 Im Re (a) Express each vertex of the triangle as a complex number; (b) Express the transformation as a complex number w; (c) Use Part (b) to find the vertices of the new triangle and plot the result.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Hi, could you give me the answer to this question with working out, because I want to check if I got the right answer and if not, then find out where I went wrong.

6. Given the triangle in the figure below, use complex numbers to rotate it 7/3 radians clockwise
and enlarge it by a factor of 2.
Im
S.
4
Re
(a) Express each vertex of the triangle as a complex number;
(b) Express the transformation as a complex number w;
(c) Use Part (b) to find the vertices of the new triangle and plot the result.
Transcribed Image Text:6. Given the triangle in the figure below, use complex numbers to rotate it 7/3 radians clockwise and enlarge it by a factor of 2. Im S. 4 Re (a) Express each vertex of the triangle as a complex number; (b) Express the transformation as a complex number w; (c) Use Part (b) to find the vertices of the new triangle and plot the result.
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