100 points! must have correct answer and explain your work! evaluate the expression: v ⋅ w given the vectors: r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5> (it's an essay question so explain throughly.)

Step-by-step explanation:

we have to find the dot product here.

From the formula of dot product of vectors,

we know-

if  X=<a,b,c>   and    Y=<d,e,f>

Then dot product of  X and Y is-

X.Y=ad+be+cf

Here, we get

v=<2 , -8 , -8>

and   w=<-2 , 6 , -5>

So, the dot product is-

v . w=2(-2)+(-8)(6)+(-8)(-5)

    =-4-48+40

    =-52+40

   =-12

So,  

v . w= -12

ghjmutmum

step-by-step explanation:

step-by-step explanation: