The town does an outdoor movie night on a large screen. Kate is sitting 36 feet from the base of the screen. If the angle of elevation from Kate to the top of the
screen is 21 degrees, how tall is the movie screen?
(Answer quickly)

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

6.5

step-by-step explanation:

you said it was in the question

~courtney

im pretty sure it would be 5 am, hope that , and give brainliest and guys if this is right then press the button and give 5 stars

i'm a sophomore in connections, i'd recommend checking on jishka.com they have a large range of questions and answers from our school.