Will give Brainliest! Read the following statement: Line segment MN is congruent to line segment OP. Which of the following is an equivalent statement? MN overbar is similar to OP overbar MN overbar equals OP overbar MN overbar is congruent to OP overbar MN overbar is an element of OP overbar

(I already told you this but now that I can answer, heres the correct answer)

MN overbar is congruent to OP overbar

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MN is congruent to OP

i do not know the answer i am sorry

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