Take the vector u = <ux, uy> = <4, 3>.
Find the magnitude of u:
||u|| = sqrt[ (ux)^2 + (uy)^2]
||u|| = sqrt[ 4^2 + 3^2 ]
||u|| = sqrt[ 16 + 9 ]
||u|| = sqrt[ 25 ]
||u|| = 5
To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is
u/||u||
u * (1/||u||)
= <4, 3> * (1/5)
= <4/5, 3/5>
and there it is.
Writing it in component form:
= (4/5) * i + (3/5) * j
I hope this helps. =)
Answer: What you must do for this case is to graph each of the ordered pairs that you have in the table to obtain the dispersion chart. Note that in your table you have eight ordered pairs, therefore, your scatter chart must have eight pairs.
Step-by-step explanation:
Parameterize the part of the sphere by
with
and
. Then
So the area of
(the part of the sphere above the cone) is given by
$4.55 Add 5.95 and 9.76. You should get 15.45. Then you do 20-15.45=4.55
Set up a proportion:
4.1/22 = 12.3/x
Cross multiply:
4.1 * x = 22 * 12.3
4.1x = 270.6
Divide 4.1 to both sides:
x = 66
