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°.
Answer:
y = x/m
Step-by-step explanation:
Please type I WILL NAME YOU BRAINLY Please measure the angles and answer it
Answer: Total amount earned is $647.68
Step-by-step explanation:
He worked 3 days at his previous salary of $16/hour. If he works 8 hours per day, then the amount he earned working at the previous salary is
16 × 8 × 3 = $384
This week, Mister Campanello got an increase in his salary of 3%. It means that the amount by which his salary increased is
3/100 × 16 = $0.48
His new salary would be
16 + 0.48 = $16.48
If he worked for 2 days at his new salary, then the amount he earned working at the new salary is
16.48 × 8 × 2 = $263.68
Total amount earned is
384 + 263.68 = $647.68
Answer:3
Step-by-step explanation:
Answer:f
Step-by-step explanation:
