Adenan makes a scale drawing of a rectangular flower box. the length is 5 in., and the width is 3 in. adenan changes the scale of the drawing from 1 in. : 4 ft to 1 in. : 6 ft. which statement about the dimensions of the flower box is true?
the length of the flower box under the new scale is 15 ft.
the length of the flower box under the old scale is 30 ft.
the width of the flower box under the old scale is 12 ft.
the width of the flower box under the new scale is 24 ft.

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

900 degrees

step-by-step explanation: