A picture is 6 inches longer than it is wide and has an area of 167 square inches. What are the dimensions (in inches) of the picture. Round your answers to two decimal places. A) 12.92 inches x18.92 inches B) 4.27 inches x 10.27 inches C) 10.27 inches x16.27 inches D) 4.27 inches x16.27 inches E) 83.5 inches 89.5 inches

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

is should be y = 5x

step-by-step explanation:

correct me if im wrong