The vertex of the parabola below is at the point (2,4), and the point (3,6) is on the parabola. What is the equation of the parabola?
10
(3,6)
(2,4)
TO
10
10
A. y= 2(x - 2)2 + 4
B. x = 4(y - 3)2 + 1
C. y= 6(x - 2)2 + 4
D. y = 3(x - 4)2 + 2

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

300pi

step-by-step explanation: