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
Grace [21]
2 years ago
6

Find the value of n for which the vectors a⃗ =(3,2)a→=(3,2) and b⃗ =(9,n)b→=(9,n) are collinear.​

Mathematics
1 answer:
Makovka662 [10]2 years ago
8 0

Answer:

For n=6, the given vectors will be collinear.

Step-by-step explanation:

Collinear vectors are the vectors which lie on the same line or parallel lines. In order to find if two vectors are collinear, their ratio is found. If the ratio is same for all unit vectors then the vectors are collinear.

Given

a = (a_1, a_2) = (3,2)\\b = (b_1, b_2) = (9,n)

The ratio of first unit vectors is:

\frac{a_1}{b_1} = \frac{3}{9} = \frac{1}{3}

In order for the vectors to be collinear the other ratio should also be 1/3

\frac{a_2}{b_2} = \frac{1}{3}

Writing it mathematically

\frac{2}{n} = \frac{1}{3}\\2*3 = n\\n = 6

Hence,

For n=6, the given vectors will be collinear.

You might be interested in
Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are P(−2, 1) and Q(8, 9)
IrinaK [193]

Answer:

Equation of the circle   (x-3)²+(y-5)²=(6.4)²

                             x² -6x +9 +y² -10y +25 = 40.96

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given endpoints of diameter P(−2, 1) and Q(8, 9)

Centre of circle = midpoint of diameter

                   Centre = (\frac{-2+8}{2} ,\frac{1+9}{2} )

               Centre (h, k) = (3 , 5)

<u><em>Step(ii):-</em></u>

The distance of two end points

PQ = \sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2}  }

PQ= \sqrt{(8+2 )^{2} +(8 )^{2}  }

PQ = √164 = 12.8

Diameter    d = 2r

                 radius r = d/2

                Radius r = 6.4

<u><em>Final answer:-</em></u>

Equation of the circle  

                    (x-h)²+(y-k)² = r²

                   (x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

x² -6x  +y² -10y  = 40.96-34

x² -6x  +y² -10y -7= 0

4 0
3 years ago
48 is what percent of 1202?
dexar [7]

Answer:

4%

Step-by-step explanation:

Divide 48 by 1202

48 ÷ 1202

= 0.03993344425956738768718801996672

Round it

0.04 or 4%

7 0
2 years ago
Read 2 more answers
In the problem 8^3 - 10 × 5 - 4, which step should you perform first?
Doss [256]

Answer:

PEMDAS

Step-by-step explanation:

P=Parenthesis

E=Exponent

M=Multiply

D=Division

A=Addition

S=Subtract

7 0
3 years ago
Read 2 more answers
Given f(x)=2a^2b+3a^3b^2+2a^2b^4 what is the degree?
lilavasa [31]
We have the following function:
 f (x) = 2a ^ 2b + 3a ^ 3b ^ 2 + 2a ^ 2b ^ 4
 We note that the function depends on x because it is f (x).
 However, there is no variable x in the function.
 Therefore we can assume that the function is constant, since:
 a = constant
 b = constant
 Therefore, the degree of the function is zero
 Answer:
 
The function is zero degree.
7 0
3 years ago
"Expand the brackets and Simplify"<br>(pls i need help asap)​
givi [52]
A) 2(1+2c)

2+4c = 2+4c

B) 6(14r-2t)

= 84r-12t
6 0
2 years ago
Other questions:
  • Pyramid A is a square pyramid with a base side length of 9 inches and a height of 4 inches. Pyramid B has a volume of 8,100 in.
    14·1 answer
  • Solve the inequality x + 3 &lt; 7. Which number line represents the solution?<br> es )
    10·1 answer
  • A student was asked to find a 90% confidence interval for the proportion of students who take notes using data from a random sam
    5·1 answer
  • Write equation for (-6,5) and (-3,-3)
    13·1 answer
  • How do you?...<br>Multiply out and simplify 10(2x-1)-20x?
    13·2 answers
  • If u = &lt;2, -5&gt;, v = &lt;3, -2&gt;, and w = &lt;5, -3&gt;, which operation is represented by this graph?
    9·2 answers
  • What is the particular solution to the differential equation dy/dx=(x+5)/y with the initial condition y(-4)=-6
    6·1 answer
  • 110 calories<br> 5 gummy bears<br> What is the unit rate per gummy bear?
    10·2 answers
  • In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store.
    14·1 answer
  • HELPP!!!!!!!!!!!!!!!!!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!