Figure PQRS is reflected about the y-axis to obtain figure P'Q'R'S': A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A polygon PQRS has P at ordered pair 1, 1, Q at ordered pair 2, 3, R at ordered pair 3, 3, S at ordered pair 4, 2. A polygon P prime Q prime R prime S prime has P prime at ordered pair negative 1, 1, Q prime at ordered pair negative 2, 3, R prime at ordered pair negative 3, 3, and S prime at ordered pair negative 4, 2.

Which statement best describes the relationship between the two figures?

Figure PQRS is bigger than figure P'Q'R'S'.
Figure PQRS is similar to figure P'Q'R'S'.
The measure of angle S is equal to the measure of angle Q'.
The measure of angle S is equal to the measure of angle P'.

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

whats the

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c