Question

if r denotes the first complex number and S . In each of the following find r+s, r-s, rs, r/s denotes the second complex number:
(i) 3+ 7i, i
(ii) 3i, 1-i​

Answer 1

Answer:

Given :  pair of complex number

(1) 3+ 7i,1  

7 +3i, 3i-1

To Find : r + s , r - s  and rs  where r is 1st complex number and s is 2nd .

Solution:

(1) 3+ 7i,1  

r =  3 + 7i

s =  1  

r + s  = ( 3 + 7i )  + 1

= ( 3 + 1)  + 7i

= 4 + 7i

r - s   = ( 3 + 7i )  - 1

= ( 3 - 1)  + 7i

= 2 + 7i

rs  = ( 3 + 7i )  * 1  =  3 + 7i

7 +3i, 3i-1

r  =  7 + 3 i

s  = 3i - 1  =  - 1  + 3i

r + s = 10  + 6i

r  -s   =  8

rs =  (7 +3i) (-1 +3i)    = -7  + 18i  + 9i²

i² = - 1

= -16 + 18 i

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Step-by-step explanation: