Evelyn loves to read and owns 8 different novels. If there is only room for 6 novels on her bookshelf, how many different ways can she arrange the books on her shelf? A. 28 ways
B. 48 ways
C. 720 ways
D. 20,160 ways
E. 60,720 ways

B

Step-by-step explanation:

I think the answer is b because each space of the shelf can hold 1 of 8 different books and there are 6 different spots so it would be 8x6 which equals 48. I hope this makes sence and helps.

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

.25

step-by-step explanation: