The line graph shows the growth of a plant over time.

A line graph titled Height of a Plant has number of weeks on the x-axis and height (inches) on the y-axis. At 1 week the height is 2, at 2 weeks the height is 5, at 3 weeks the height is 8, at 4 weeks the height is 12, at 5 weeks the height is 16, at 6 weeks the height is 19.

How many inches did the height of the plant increase between weeks 3 and 4?

The answer is 4

Step-by-step explanation: I just did the quiz :)

the answer is 4

Step-by-step explanation:

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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

sine

step-by-step explanation: