Answer:
yes
Step-by-step explanation:
i am smart
Yes, if you divide it by fractions of pi, then you would get even integers.
Answer:
Parallel, since
.
Step-by-step explanation:
The relation between both vectors is determined by the use of the dot product, whose expression is:
![\cos \theta = \frac{\vec u \bullet \vec v}{\|\vec u\| \|\vec v\|}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7B%5Cvec%20u%20%5Cbullet%20%5Cvec%20v%7D%7B%5C%7C%5Cvec%20u%5C%7C%20%5C%7C%5Cvec%20v%5C%7C%7D)
Where:
if vectors are parallel to each other and
if vectors are orthogonal. Then, norms and dot product are calculated hereafter:
![\|\vec u\| = \sqrt{18^{2}+8^{2}}](https://tex.z-dn.net/?f=%5C%7C%5Cvec%20u%5C%7C%20%3D%20%5Csqrt%7B18%5E%7B2%7D%2B8%5E%7B2%7D%7D)
![\|\vec u\| \approx 19.698](https://tex.z-dn.net/?f=%5C%7C%5Cvec%20u%5C%7C%20%5Capprox%2019.698)
![\|\vec v \| = \sqrt{9^{2}+4^{2}}](https://tex.z-dn.net/?f=%5C%7C%5Cvec%20v%20%5C%7C%20%3D%20%5Csqrt%7B9%5E%7B2%7D%2B4%5E%7B2%7D%7D)
![\|\vec v\| \approx 9.849](https://tex.z-dn.net/?f=%5C%7C%5Cvec%20v%5C%7C%20%5Capprox%209.849)
![\vec u \bullet \vec v = (18)\cdot (9) + (8)\cdot (4)](https://tex.z-dn.net/?f=%5Cvec%20u%20%5Cbullet%20%5Cvec%20v%20%3D%20%2818%29%5Ccdot%20%289%29%20%2B%20%288%29%5Ccdot%20%284%29)
![\vec u \bullet \vec v = 194](https://tex.z-dn.net/?f=%5Cvec%20u%20%5Cbullet%20%5Cvec%20v%20%3D%20194)
![\cos \theta = \frac{194}{(19.698)\cdot (9.849)}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7B194%7D%7B%2819.698%29%5Ccdot%20%289.849%29%7D)
![\cos \theta = 1](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%201)
The two vectors are parallel to each other, which is also supported by the fact that one vector is multiply of the other one. That is,
![18i + 8j = 2\cdot (9i + 4j)](https://tex.z-dn.net/?f=18i%20%2B%208j%20%3D%202%5Ccdot%20%289i%20%2B%204j%29)
![\vec u = 2\cdot \vec v](https://tex.z-dn.net/?f=%5Cvec%20u%20%3D%202%5Ccdot%20%5Cvec%20v)
Answer:
Option 1 is correct.
Step-by-step explanation:
We have to select the option which is not the condition of a Tessellation.
A tessellation is a regular pattern made up of shapes that perfectly fit together or we can say it is an arrangement of shapes closely fitted together, especially of polygons in repeated pattern with no overlaps and no gaps.
A tessellation use repeated shapes to completely cover a plane with no overlaps or gaps.
Daily life examples of tessellation are honey combs, to man-made objects, like architecture and quilts.
A tessellation can use one or more geometric shapes. Hence, from the given options only the first option is not a condition for tessellation.