The horizontal distance traveled to reach a height of 200 feet is approximately
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)
= 2Γ(-2)+(-8)Γ(6)+(-8)Γ(-5)
= -4-48+40
= -12
hence, v.w= -12
y= -3x is the required function.
step-by-step explanation:
we have been given a table:
x y
0 0
1 -3
3 -9
-2 6
we can see that the values of y is -3 times the value of x
hence, the function would be: y= -3x.
put the values of x will give the same y as in the table that means function is satisfying the given table.