Answer Happy

a) Give 5 distinct examples of vectors of the form a + bi that id parallel to the vector [ -2, 5].
b) show that there exists real numbers r, s such that r (2-i) and s (-3-2i)= 7
show a linear combo of (2-i) and (-3-2i) for part b
c) Multiplication for vectors isnt defined for R^n with n>= 2 but it is for C. Write out the multiplication in the complex numbers
[ a, b] * [c, d] =[ ? , ?] in the vector form not the a + bi form.
Please show all work for a better understanding. Thank you!
Technically, the complex numbers C is a vector space (over the real munbers) with [a,b] = (a +bi). So, 1. give five distinct examples of vectors of the form a + bi that is parallel to the vector (-2,5). 2. show that there exists real numbers r, s such that (2-1) + s(-3 - 2) = 7 Note: you are showing that 7 is a linear combo of (2 - i) and (-3-2). 3. Multiplication for vectors isn't defined for R" with n > 2. But it is for C. Write out the multiplication in the complex mumbers: [a, b] * (c,d) = (?,?), in the vector form, not the a + bi form.