Σε
Mrs. Cain's coleslaw recipe calls for cup of oil, cup of
vinegar, and cup of sugar. Tell whether each statement
is True or False.
a. The recipe uses 1 cups of
True
False
oil for each cup of vinegar.
The recipe uses 2 cups of sugar
True
for each cup of vinegar.
False
c. The recipe uses 2 cups of
vinegar for each cup of sugar.
True
False
False
d. The recipe uses cup of
oil for each cup of vinegar. True
True False
b.
T
True
True

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

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation: