1 A student was conducting a study to determine how many pages he would need for the book he is writing. So,
he found that the following number of words fit on each type of the following papers using an 11 point font:
Paper Size
Average Number of Words
8.5 inches by 11 inches
800
5.5 inches by 6.5 inches
300
12 inches by 18 inches
1900
The student looks up the word count on his favorite book, if the book has pages that are 5.5 in. x 6.5 in. and 59,743 words how many pages is the
book?
2

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

step-by-step explanation:

this is not a question