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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 please explain throughly.)

Respuesta :

rahatmath220

Answer:


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

taishaire25

Answer:

-12

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

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