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point H is located at (-7,5) where is h after a 270 degree clockwise rotation

 Feb 24, 2020
 #1
avatar+22017 
+2

It will go from Quadrant 2      to  Quadrant 3   and will be   -5, -7

 

"I don't do math"   better learn 'to do'  math or  " I don't do math"  will never get far in this world.  cheeky

 

     and I won't get much further if I make MISTAKES at math !!    Corrected my typo

 Feb 24, 2020
edited by ElectricPavlov  Feb 24, 2020
 #2
avatar+109450 
+2

A 270°  clockwise rotation   is the  same as  a  -90°  counter-clockwise  rotation

 

Let ( x, y)  be  the original   point  = ( -7, 5)

 

A 90°  counter-clockwise  rotation  gives  us  (-y, x)   =   (-5, -7)

 

Here's the  graph  : 

 

 

cool cool cool

 Feb 24, 2020
 #3
avatar+24388 
+1

point H is located at (-7,5) where is h after a 270 degree clockwise rotation

 

Let \(270^\circ\) clockwise rotation = \(90^\circ\) counter clockwise  rotation

 

\(\begin{array}{|lrcll|} \hline & && \text{complex} \\ \hline (-7,\ 5) \rightarrow & && ( -7+5i) \\ & && ( -7+5i)\times i & \times i ~(\text{ $90^\circ$ counter clockwise rotation}) \\ & &=&-7i+5i\times i \\ & &=&-7i+5i^2 \quad i^2 = -1 \\ & &=&-7i-5\\ (-5,\ -7) \leftarrow & &=&(-5-7i)\\ \hline \end{array} \)

 

laugh

 Feb 25, 2020

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