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
amm1812
3 years ago
15

Find the unit vector that has the same direction as the vector v. v = 3i + j

Mathematics
2 answers:
never [62]3 years ago
6 0

Answer:

Step-by-step explanation:

Given is a vector v =3i+j

To find unit vector in the direction of v:

Since direction is the same as v we need not change the coefficients of i and j

But magnitude must be changed to 1.

Calculate the magnitude of vector v

|v|=\sqrt {3^2+1^2} =\sqrt{10}

TO make magnitude to 1 we divide the vector by magnitude

Hence unit vector

= \frac{1}{\sqrt{10}}(3i+j)

Alchen [17]3 years ago
5 0
\bf \textit{unit vector for \underline{v}}\qquad v=\ \textless \ a,b\ \textgreater \ \implies \stackrel{unit~vector}{\cfrac{a}{\sqrt{a^2+b^2}}~,~\cfrac{b}{\sqrt{a^2+b^2}}}\\\\
-------------------------------\\\\
v=3i+j\implies v=\ \textless \ 3,1\ \textgreater \ \implies \stackrel{unit~vector}{\cfrac{3}{\sqrt{3^2+1^2}}~,~\cfrac{1}{\sqrt{3^2+1^2}}}
\\\\\\
\left( \cfrac{3}{\sqrt{10}}~,~\cfrac{1}{\sqrt{10}} \right)
You might be interested in
What's the answer <br>2(10×10)2
Nookie1986 [14]
2(100)2
200x2
400
Is the answer
7 0
3 years ago
Read 2 more answers
(5 hundreds 5 tens)×10 in unit form what's the unit form?
Neko [114]
The unit form for that is
5,500
5 0
3 years ago
Find the perimeter of angle ABC with verticals A(1,-6), B(1,-3) and C(-4,-6)
disa [49]

Answer:

its 13.83

Step-by-step explanation:

Use the distance formula and plug them in

6 0
3 years ago
Write using exponents. (–4)(–4) 2. simplify. show your work.
Dmitriy789 [7]
32 is the answer and you write it out by copying what's in the calculator
6 0
3 years ago
Sales tax in Harris County is 7%. If the sales tax on a new car was $1400, what was the selling price of the car?
Dahasolnce [82]

Answer:

Bill of sale is not itemized or no sales tax has been paid to the state where the vehicle was purchased Sales tax is calculated using the following formula: (Vehicle Price – Trade in Value) x 6.25.

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Pls help <br> First response gets brainliest and pls answer to best ability
    14·1 answer
  • What is the anwser please help
    13·2 answers
  • Y-3=-2(x+5)<br> A.-13<br> B.-7<br> C.2<br> D.8
    13·1 answer
  • (11+i)^2<br><br> please help!
    13·1 answer
  • I GIVEEE BRAIUNLILSTT
    11·2 answers
  • Work out the area of the triangle.
    13·1 answer
  • The third set in a tennis match went for
    13·1 answer
  • Please help me it's due today:(​
    14·1 answer
  • Find the smallest non-zero whole number that is<br> divisible by 315, 378 and 392.
    6·1 answer
  • Write the Standard Form of the line with x-intercept of 3 and y-intercept of 4.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!