Assume rst mno. if mn = 6, no = 7, and mo = 11, what is the length of rs?

Answer with explanation:

It is given that,

 R ST  ≅ M NO.

Also, MN=6 unit

NO=7 Unit

MO=11 unit.

When two triangles are congruent , their corresponding Sides and Angles are Congruent, that is equal.

So,Corresponding Side to MN is RS .

So, MN=RS

MN=6 unit

RS=6 unit

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

50-38=12

step-by-step explanation: