Answer:
The angle between the two vectors is 84.813°.
Step-by-step explanation:
Statement is incomplete. Complete form is presented below:
<em>Let be (6,-3, 1) and (8, 9, -11) vector with same origin. Find the angle between the two vectors. </em>
Let 
and 
, the angle between the two vectors is determined from definition of dot product:
(1)
Where:
, 
- Vectors.
, 
- Norms of each vector.
Note: The norm of a vector in rectangular form can be determined by either the Pythagorean Theorem or definition of Dot Product.
If we know that 
and 
, then the angle between the two vectors is:
![\theta = \cos^{-1}\left[\frac{(6)\cdot (8) + (-3)\cdot (9) + (1)\cdot (-11)}{\sqrt{6^{2}+(-3)^{2}+1^{2}}\cdot \sqrt{8^{2}+9^{2}+(-11)^{2}}} \right]](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Ccos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B%286%29%5Ccdot%20%288%29%20%2B%20%28-3%29%5Ccdot%20%289%29%20%2B%20%281%29%5Ccdot%20%28-11%29%7D%7B%5Csqrt%7B6%5E%7B2%7D%2B%28-3%29%5E%7B2%7D%2B1%5E%7B2%7D%7D%5Ccdot%20%5Csqrt%7B8%5E%7B2%7D%2B9%5E%7B2%7D%2B%28-11%29%5E%7B2%7D%7D%7D%20%5Cright%5D)
The angle between the two vectors is 84.813°.
$6.20.
2/3=.6666666667
Multiple 9.30 by .6666666667 and you will get the 2/3 cost of the pizza.
In a parallelogram, opposite sides are congruent.
This means that
LM = ON
NM = OL
Using the equations, find x and y:
4x - 6 = 3x + 5
4x = 3x + 11
1x = 11
x = 11
x - 4 = 4y - 3
x - 1 = 4y
-1 = 3y
-1/3 = y
The values are:
x = 11
y = -1/3
Answer:15
Step-by-step explanation:
The box on the left is square in a square all side are equal
Answer:
15 sheep
Step-by-step explanation:
1 leg = 1 foot
1 head = 1 animal
Suppose all the animals are chickens:
50 × 2 = 100
130 - 100 = 30
4 - 2 = 2
30 ÷ 2 = 15
Hence, there are 15 sheep.
