You are planning to retile the walls around your bathtub. You measure the dimensions of the wall and find that the length of the tub is 7 feet, the width of the tub is 2 feet and the height of the wall is 5 feet. You go to the hardware store to pick out some tile. You find ones that you like. There are 4 sizes of tile and are priced differently. The prices are 1 square inch tile is 10 cents, 6 square inch tile is 25 cents, 8 square inch tile is 75 cents and 18 square inch tile is $1.50. Find the best deal (price) for tile in order to tile your bathroom. How much will you spend? Why is this the best deal? Show ALL OF YOUR WORK and explain how you found the answer.​

it is the best deal cause i said

Step-by-step explanation:

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