A=2. B=3. C=4

1) 2bc - 4=
2) 8a (divide) c=
3) 6b (divide) a=
4) 4a + 7 =
5) ac - 7=
6) 2b - a =

Step-by-step explanation:

1.)  2(3)(4) - 4 = 24 - 4 = 20

2.)  8(2) / (4) = 16/4 = 4

3.)  6(3) / (2) = 18 / 2 = 9

4.)  4(2) + 7 = 8 + 7 = 15

5.)  (2)(4) - 7 = 8 - 7 = 1

6.)  2(3) - (2) = 6 - 2 = 4

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