6. Given the triangle in the figure below, use complex numbers to rotate it л/3 radians clockwise and enlarge it by a factor of 2. Im A 4 4 76 6 Re (a) Express each vertex of the triangle as a complex number; (b) Express the transformation as a complex number w; (c) Use Part (b) to find the vertices of the new triangle and plot the result.

Q: 4) Add or subtract the following complex numbers. (4+51)-(2-3i)= Multiply the complex numbers and…

A: we need to subtract the complex numbers and also need to find out the product.

Q: 42. V2(cos(-60°) + i sin(-60°))

A:

Q: Let 2 = 2+3i and w = 5-i. Compute the following complex numbers (your answers should be in a + bi…

A: Step 1:Let's compute the given complex numbers in a+bi format for the following:(d): zwˉ(e): wz​(f):…

Q: Plot the complex number z4 = (√3/2+1/2i)^20 in the Argand diagram.

A:

Q: 6. Given the triangle in the figure below, use complex numbers to rotate it 7/3 radians clockwise…

A: First we will find the coordinates of a given triangle in complex form.Then we will write the…

Q: Let a = -2-3i and b=5-2i, c= -√3 +7i Given the complex numbers above, find the following complex…

A:

Q: Convert the complex number z = -√2 (lis (317) in its rectangular shape

A: Given: z=2cis3π4 To find: Rectangular form of given complex number.

Q: Find a complex number for which Arg(z bar) does not equal -Arg(z).

A: For all non zero complex number we have Arg(z bar) = - Arg (z)  as if z = x+iy  which imples z¯ = x…

Q: If Z₁=14+7i and Z2=3+17i, determine the imaginary part the complex number: Z₂ Give your answer to…

A: Given :Z1=14+7iZ2=3+17i

Q: For -343, (a) find all cube roots of the complex number. Write answers in trigonometric form. (b)…

A: We have to find cube root of  Now,

Q: Write the following complex numbers in rectangular form (z = x + iy) el-i +1 el-i – 1'

A: I have divide each terms as a+ib form the rationalized