+44 Question 3 asked for two possible quadrant locations of the product of c + di and , where c, d, e, and f are positive real numbers. The product in question 4 was two complex numbers of the form c + di and , where c, d, e, and f are positive real numbers. You answered the quadrant location of this product.
Provide an example of two complex numbers in the form c + di and , where c, d, e, and f are positive real numbers such that their product lies in the other possible quadrant. Support your example by determining its product.
+23252 I'm not sure what you are asking --
In problem 3, are you asking for an example whose product ends in QI and another example whose
product ends in QIV?
If so, (8 + 7i)(6 - 5i) = 83 + 2i (QI)
(3 + 4i)(1 - 2i) = 11 - 2i (QIV)
In problem 4, are you asking how to solve the problem?
If so: 4sqrt(3) - 4i
r = sqrt( ( 4sqrt(3) )2 + ( -4 )2 ) = sqrt( 48 + 16 ) = sqrt( 64 ) = 8
theta = tan-1( -4 / (4sqrt(3) ) = tan-1( - 1 / sqrt(3) ) = (-1/6)·pi
---> 4sqrt(3) - 4i = 8·cis( (-1/6)·pi )
sqrt(2) + sqrt(2)·i
r = sqrt( ( sqrt(2) )2 + ( sqrt(2) )2 ) = sqrt( 2 + 2 ) = sqrt( 4 ) = 2
theta = tan-1( sqrt(2) / sqrt(2) ) = tan-1( 1 ) = pi/4
---> sqrt(2) + sqrt(2)·i = 2·cis( pi/4 )
Multiplying them together: 8·cis( (-1/6)·pi ) x 2·cis( pi/4 ) = 16·cis( 1/12·pi )
+44 question 3 and 4 is done but it mentions them in the question so I included the. The question is Provide an example of two complex numbers in the form c + di and , where c, d, e, and f are positive real numbers such that their product lies in the other possible quadrant. Support your example by determining its product.
