A company opened this past year. They have a 24 hour customer service department. The company is looking to reduce costs and is considering closing its customer service department between the hours of midnight at 5am. Before making this decision, they want to gather some information about the usage of this service during these hours. They pull the data from the number of calls to customer service for each day since the company began. Number of Calls to Cust Service Number of Days 0-14 32 15-29 64 30-44 58 45-59 46 60-74 68 75-89 32 What is the mean number of calls to customer service

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

answer: 40.95

step-by-step explanation:

i believe the correct answer is b.