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| Question 65147:  The conjugate of  5 + 6i  is
 Find the product  (2 + i)(3 + 4i).   Give your answer in the usual   a + bi  form
 Write the complex number  i 15   in the usual   a + bi  form
 Find the reciprocal of the complex number   3 + 2i .    Give your answer in the usual  a + bi  form.
 Write the complex number in the usual a + bi form.
 What are the coordinates of the complex number   -i  when we plot it in the complex plane?
 Find the magnitude of the complex number  3 - 7i.    (In other words, find  | 3 -  7i | )
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! The conjugate of 5 + 6i is 5-6i ---------------
 Find the product (2 + i)(3 + 4i). Give your answer in the usual a + bi form
 Use FOIL:
 F:2*3=6
 O:2*4i=8i
 I:3*i=3i
 L:i*4i=-4
 Combine to get:2+11i
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 Write the complex number i 15 in the usual a + bi form
 0+15i
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 Find the reciprocal of the complex number 3 + 2i . Give your answer in the usual a + bi form.
 1/(3+2i)=[3-2i)}/[3+2i)(3-2i)]=[ 3-2i]/[13]=(3/13)-(2/13)i
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 What are the coordinates of the complex number -i when we plot it in the complex plane?
 (0,-1)
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 Find the magnitude of the complex number 3 - 7i. (In other words, find | 3 - 7i | )
 |3-7i|=sqrt(9+49)=sqrt58
 Cheers,
 Stan H.
 
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