If u=(3+2i) and v=(3-2i) what is uv?

13

Step-by-step explanation:

u=(3+2i)  v=(3-2i)

uv = (3+2i)(3-2i)

FOIL

first: 3*3 = 9

outer: -2i*3 = -6i

inner: 2i*3 = 6i

last = 2i*-2i = -4i^2 =-4 (-1) = 4

Add together

9-6i+6i +4 = 13

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl