Answer:
The unit vector in component form is
or
.
Step-by-step explanation:
Let be
, its unit vector is determined by following expression:
![\hat {u} = \frac{\vec u}{\|\vec u \|}](https://tex.z-dn.net/?f=%5Chat%20%7Bu%7D%20%3D%20%5Cfrac%7B%5Cvec%20u%7D%7B%5C%7C%5Cvec%20u%20%5C%7C%7D)
Where
is the norm of
, which is found by Pythagorean Theorem:
![\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}](https://tex.z-dn.net/?f=%5C%7C%5Cvec%20u%5C%7C%3D%5Csqrt%7B2%5E%7B2%7D%2B%28-3%29%5E%7B2%7D%7D)
![\|\vec u\| = \sqrt{13}](https://tex.z-dn.net/?f=%5C%7C%5Cvec%20u%5C%7C%20%3D%20%5Csqrt%7B13%7D)
Then, the unit vector is:
![\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)](https://tex.z-dn.net/?f=%5Chat%7Bu%7D%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B13%7D%7D%20%5Ccdot%20%282%2C-3%29)
![\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)](https://tex.z-dn.net/?f=%5Chat%7Bu%7D%20%3D%20%5Cleft%28%5Cfrac%7B2%7D%7B%5Csqrt%7B13%7D%20%7D%2C-%5Cfrac%7B3%7D%7B%5Csqrt%7B13%7D%7D%20%20%5Cright%29)
The unit vector in component form is
or
.
Answer:
the slope is 0
Step-by-step explanation:
m=0
Answer:
4m-20
Step-by-step explanation:
![(m - 5)4 \\ = m \times 4 + - 5 \times 4 \\ = 4m - 20](https://tex.z-dn.net/?f=%28m%20-%205%294%20%5C%5C%20%20%3D%20m%20%5Ctimes%204%20%2B%20%20-%205%20%5Ctimes%204%20%5C%5C%20%20%3D%204m%20-%2020)
Answer:
5,280 * 8 = 42,240
42,240 feet
42,240 * 12 = 506,880
506,880 inches
Step-by-step explanation:
Answer:D
Step-by-step explanation:
There are 3 even numbers (2,4,6) and 3 odd numbers(1,3,5) on a six-sided die.
Therefore,the probability to get an even or odd number is the same (50%).