In the argand plane

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

In the argand plane, the vector z=4−3iz = 4 - 3i , where i=−1i = \sqrt{-1} , is turned in the clockwise sense through 180∘180^\circ and stretched three times. Then, find the complex number represented by the new vector.

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