Answer:
The unit vector u is (-5/√29) i - (2/√29) j
Step-by-step explanation:
* Lets revise the meaning of unit vector
- The unit vector is the vector ÷ the magnitude of the vector
- If the vector w = xi + yj
- Its magnitude IwI = √(x² + y²) ⇒ the length of the vector w
- The unit vector u in the direction of w is u = w/IwI
- The unit vector u = (xi + yj)/√(x² + y²)
- The unit vector u = [x/√(x² + y²)] i + [y/√(x² + y²)] j
* Now lets solve the problem
∵ v = -5i - 2j
∴ IvI = √[(-5)² +(-2)²] = √[25 + 4] = √29
- The unit vector u = v/IvI
∴ u = (-5i - 2j)/√29 ⇒ spilt the terms
∴ u = (-5/√29) i - (2/√29) j
* The unit vector u is (-5/√29) i - (2/√29) j
Answer:
x=18
Step-by-step explanation:
So (3x+20)° and (5x-16)° are angles that are vertically opposite to each other; which means that they are equal to one another. Which means we can say:
(3x+20)=(5x-16)
20+16=5x-3x
36=2x
x=18
*and the two angles are 74°
<span>x=<span>−<span><span>2<span> and </span></span>y</span></span></span>=<span>−<span>2
</span></span>A.(−2, −2)
Hey there!
1a. Let c=cost of dinner, 5=the # of people, and P=the cost of person
P=C/5
b. <span>P = (1000)/5 </span>
<span>P = 200
</span>
2a. For 1= 19, 2= 38, 57= and so on ( you just multiply the number of season by 19)
b. T= 19n
