How is the product of a complex number and a real number represented on the complex plane?
Consider the product of −2+8i and 5.
Modulus of -2 + 8i =sqrt [ (-2)^2 + 8^2 ] = sqrt [ 4 + 64 ] = sqrt [ 68] = sqrt [ 4 * 17 ] = 2sqrt (17)
5 (-2 + 8i) = -10 + 40i
a positive real number