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°.
The answer would be D since x alone cannot form an expression. It can however be a term, variable, and a constant, because those all need another number to form a formal question.
3 boxes are filled every 4 minutes
The situation which is not possible about the pencils in her box is; Choice B: The longest pencil in the box is 8cm long.
<h3>Mean and Measure of central tendency</h3>
By convention, the mean is a statistical measure of central tendency.
On this note, if the mean of a set of data values is 10, this means the data values have data points greater, equal and less than the mean value.
- On this note, it is impossible to have the longest pencil in the box to have a length, 8cm.
Read more on Mean;
brainly.com/question/281308
