Note: remember to show all the steps that you use to solve the problem. you can use the comments field to explain your work. your teacher will review each step of your response ensure you receive proper credit for your answer. note: remember to show all of the steps that you use to solve the problem. be sure to use the text box where the question mark first appears to show your mathematical work. you can use the comments field to explain your work. your teacher will review each step of your response to ensure you receive proper credit for your answer. harry rides his bike 25 start fraction 3 over 8 end fraction miles. karen rides her bike 25two-fifths miles. who rides farther?

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

explanation:

step-by-step explanation: