Dr. Rivera just got her PhD, and she wants to print copies of her thesis in hardcover book format. She could use Silvergrove Printing, paying a setup fee of $44 and $7 for every book printed. Alternately, she could go through Westminster University, paying an up-front fee of $34 and $8 per book. It turns out that, given the number of books Dr. Rivera wants to print, the two options cost the same amount. How many books is that? What is the amount?.

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

the correct answer is a.) bc< mn 5 stars if this you : )

step-by-step explanation: