Why might where you live be a factor in determining your utility costs?

Well some places are more expensive. This will effect the prices of utilities because some places have a higher expense of living because of the lack of certain materials or because of the desirable location. For example, although living in Hawaii was beautiful, it was extremely expensive for everyday items because most things needed to be shipped and because of constant tourism.

Some places have a higher expense of living because of the lack of certain materials or because of the desirable location. For example, although living in Hawaii was beautiful, it was extremely expensive for everyday items because most things needed to be shipped and because of constant tourism.

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

make sure you have version 2.50

try looking in the very back of the book : )

step-by-step explanation:

you can download it here