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
Art [367]
3 years ago
7

Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

in your answer.
Mathematics
1 answer:
slamgirl [31]3 years ago
6 0

Answer:

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

Step-by-step explanation:

Let be \vec u = (2,-3), its unit vector is determined by following expression:

\hat {u} = \frac{\vec u}{\|\vec u \|}

Where \|\vec u \| is the norm of \vec u, which is found by Pythagorean Theorem:

\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}

\|\vec u\| = \sqrt{13}

Then, the unit vector is:

\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)

\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right)

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

You might be interested in
Find the missing length
jasenka [17]

Answer: 15

Step-by-step explanation:

For this you will have to use pythagoras’ theorem.

The formula for the shorter side of this triangle is u²=c²-b² (or in this case u²=17²-8²).

17²=289

8²=64

The formula becomes u²=289-64 or u²=225

Then to find u on its own you have to square root 225.

The square root of 225 is 15.

3 0
3 years ago
Alice takes 6 cups of flour to make 4 loaves of bread.What is the ratio of loaves to flour
tatiyna

4 loaves : 6 cups

That simplifies to 2 loaves : 3 cups

So, your ratio is 2:3

4 0
3 years ago
X - x-2/6 = x-7/3 + 2/3
elena-s [515]
X-x-2/6=x-7/3+2/3
-2/6+7/3-2/3=x
x= -2/6+5/3
x= 8/6
x= 4/3
3 0
3 years ago
At a particular fast food restaurant, tacos cost $1.29 and
Arlecino [84]

Answer:

Michael bought 18 tacos and 9 burritos.

Step-by-step explanation:

Since at a particular fast food restaurant, tacos cost $ 1.29 and burritos cost $ 2.19, and Michael spent a total of $ 42.93 at the restaurant to buy food for a party, if he purchased half as many burritos as tacos, to determine how many tacos did he buy, the following calculation must be performed:

1.29 x 20 + 2.19 x 10 = 47.7

1.29 x 16 + 2.19 x 8 = 38.16

1.29 x 18 + 2.19 x 9 = 42.93

So Michael bought 18 tacos and 9 burritos.

4 0
3 years ago
18 push-ups in 3 days = push ups per day​
Kruka [31]

Answer:

6 pushups

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • -4+2(-2+5)^2<br> ______________ <br>5-(2-4)^3
    6·1 answer
  • HeeeeeEEEEEELP
    15·1 answer
  • Solve 12x - 8 = 9x + 13
    12·2 answers
  • The price of an item is $6.15. You want to buy two of the items and give the cashier a $10 and a $5 bill. What is the change?
    6·2 answers
  • Its cost $3.55 to make a sandwich at the local deli shop to make a profit the deli sells it at a price that is 160% of the cost.
    9·2 answers
  • Please answer number 3
    8·1 answer
  • Help ASAP! use the second image attached to answer!
    6·2 answers
  • Help=10pts<br> 5,6,7,and 8 plz
    15·2 answers
  • Pls help me I will brainlest
    9·2 answers
  • Jackson’s rectangular bedroom has an area of 90 square feet. The area of his bedroom is 9 times that of his rectangular closet.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!