# Complex numbers Questions and Answers

Algebra
Complex numbers Solutions
3z Consider the planes II₁: 2x - 4y -z = 3, II₂ : -3x + 6y + = 6. Give a reason why the planes are parallel. 2 Also, find the distance between both planes.
Algebra
Complex numbers Solutions
These two hexagons are similar. Find the area of the smaller one.
Algebra
Complex numbers Solutions
Solve the following equation for z E C (and write z in the form x + jy): (z+j/z-j)3+(z-j/z+j)3 = 0
Algebra
Complex numbers Solutions
Perform the indicated operation : (-13-7i) + (-28 +24i) -41 +17i -41-17i 41-17i -41 - 18i
Algebra
Complex numbers Solutions
Z11²×13² how many quadratic non residues does this have? how many of those are units? and how many are not?
Algebra
Complex numbers Solutions
find the roots of a) Z^8 -16i=0 b) Z^8 +16i=0
Algebra
Complex numbers Solutions
Using the matrix U = [u₁u₂u3], determine whether or not the columns of U span R³. Explain your approach.
Algebra
Complex numbers Solutions
Select all that are True. The Law of Sines works for most triangles but not for right triangles. The Law of Cosines works for most triangles but not for right triangles. The Law of Sines works for all
Algebra
Complex numbers Solutions
Financial Markets. The tock and bond markets are not the only financial markets. Give two or three additional examples.
Algebra
Complex numbers Solutions
.Find a general solution to y" - 2y + 1y =12.5elt/t² + 1 Use a and b for the constants of integration associated with the homogeneous solution. y =
Algebra
Complex numbers Solutions
Express 9[cos(60°) —isin(60°)] in the form a+ bi
Algebra
Complex numbers Solutions
Choose the correct statement. For any angle 8, we have sin (-θ)=sin θ . (So sine is an odd function.) For any angle 8, we have sin (-θ) = sin θ. (So sine is an even function.) Neither of the above