1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nexus9112 [7]
3 years ago
15

State if the two vectors are parallel, orthogonal, or neither. u=18i+8j v=9i+4j

Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0

Answer:

Parallel, since \vec u = 2\cdot \vec v.

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\|}

Where:

\cos \theta = 1 if vectors are parallel to each other and \cos \theta = 0 if vectors are orthogonal. Then, norms and dot product are calculated hereafter:

\|\vec u\| = \sqrt{18^{2}+8^{2}}

\|\vec u\| \approx 19.698

\|\vec v \| = \sqrt{9^{2}+4^{2}}

\|\vec v\| \approx 9.849

\vec u \bullet \vec v = (18)\cdot (9) + (8)\cdot (4)

\vec u \bullet \vec v = 194

\cos \theta = \frac{194}{(19.698)\cdot (9.849)}

\cos \theta = 1

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)

\vec u = 2\cdot \vec v

You might be interested in
can somone help me on my last question its a math one so if your good at math can you please help me on that one
svp [43]

Answer:

show me the question you need

Step-by-step explanation:

4 0
3 years ago
Tiffany wants to illustrate the homework times she and some of her friends spent one night on one subject. Her goal is to show t
chubhunter [2.5K]
My best guess is a line graph because it shows the consistent numbers and then you can lay them all out after you have completed the graph
8 0
3 years ago
Read 2 more answers
?4x y=10 rewrite in slope intercept form
aleksandrvk [35]
Wait, do you mean that y=10 is what you want in slope intercept form? Oh btw I'm not answering this just for the points. I'll actually answer the question
6 0
3 years ago
Three coins are tossed.<br> What is the probability that<br> all three will land tails up?
Angelina_Jolie [31]

Answer: 1/4

Step-by-step explanation:

5 0
3 years ago
Luis, Marrisa, and Federico are rasing money for a school field trip. Luis had raised 6/7 of the total amount needed, Marrisa ha
Margaret [11]
Luis = 6/7
Marrisa = 5/9
Federico = 11/10 = 1 1/10

Greatest fraction = 1 1/10

Answer: Frederico raised the most. 
7 0
3 years ago
Other questions:
  • In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc?
    10·2 answers
  • Can someone explain to me how to do this question? :)
    15·1 answer
  • I really need an answer pls I used all my points :’(
    14·2 answers
  • Jane buys a lawnmower at 75% off of the original price. She pays $22.What was the original price
    12·1 answer
  • Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
    12·1 answer
  • Pls help ;-; deunvojnvjenv
    15·1 answer
  • SOMEONE PLEASE HELP!!
    14·1 answer
  • ASAP ASAP ASAP ASAP MATH MATH MATH homework
    15·1 answer
  • Mehvish buys 1/2 kg carrots, 3 kg potatoes, 2 kg onions and 1 1/2kg of chicken.
    11·1 answer
  • Please help I’m about to fail and this quiz will bring my grade up.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!