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:
I believe the answer is transative property. I'm currently taking the test so I'm not 100% sure if I'm right yet.
Step-by-step explanation:
In step one, AGE and HGB are verticle angles since they are opposite of each other. then step two is alternate interior angles because they are interior angles opposite of each other, self-explanatory. the reason I choose the transitive property over the corresponding angles theorem is because the transitive property states: among A B and C, if A=B and B=c then A=C and in this case since AGE=HGB andHGB=CHE then AGE=CHE. I hope this helps and if you know the right answer just put it in the comments, if I'm wrong ofc.
Answer:
Step-by-step explanation:
Answer:
The equation for b would be y = 1/2x + 1
Step-by-step explanation:
In order to find this, start by finding two points on the line. We'll use (0,1) and (2, 2). From there we start by finding the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - 1)/(2 - 0)
m = 1/2
Now using that, we can plug it, along with a point into point-slope form to get the answer.
y - y1 = m(x - x1)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
