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
Dovator [93]
3 years ago
10

Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 11, −8) and

parallel to the line x = −1 + 4t, y = 6 − 4t, z = 3 + 6t
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
3 0

Answer:

The vector equation of the line is \overrightarrow {r}=(11j-8k)+t(4i-4j+6k) and parametric equations for the line are x=4t, y=11-4t, z=-8+6t.

Step-by-step explanation:

It is given that the line passes through the point (0,11,-8) and parallel to the line

x=-1+4t

y=6-4t

z=3+6t

The parametric equation are defined as

x=x_1+at,y=y_1+bt,z=z_1+ct

Where, (x₁,y₁,z₁) is point from which line passes through and <a,b,c> is cosine of parallel vector.

From the given parametric equation it is clear that the line passes through the point (-1,6,3) and parallel vector is <4,-4,6>.

The required line is passes through the point (0,11,-8) and parallel vector is <4,-4,6>. So, the parametric equations for the line are

x=4t

y=11-4t

z=-8+6t

Vector equation of a line is

\overrightarrow {r}=\overrightarrow {r_0}+t\overrightarrow {v}

where, \overrightarrow {r_0} is a position vector and \overrightarrow {v} is cosine of parallel vector.

\overrightarrow {r}=(11j-8k)+t(4i-4j+6k)

Therefore the vector equation of the line is \overrightarrow {r}=(11j-8k)+t(4i-4j+6k) and parametric equations for the line are x=4t, y=11-4t, z=-8+6t.

You might be interested in
2 Points<br> Which of the following is(are) the solution(s) to . x+6 = 2x - 1?
seropon [69]

Answer:

x = 7

Step by step explanation:

<em>minus</em><em> </em><em>x</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em>

6 = x -1

<em>add</em><em> </em><em>1</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em>

<em>x</em><em> </em><em>=</em><em> </em><em>7</em>

7 0
3 years ago
Cuántos años tendre en 2030 si tengo 16 en 2022?​​
stepan [7]

¿Cuántos años tendre en 2030 si tengo 16 en 2022?

Resolvamos:

\:  \: {\sf \rightarrow2030 - 2022 = 82030−2022=8}

\:  \:  \sf \rightarrow16 + 8 = 2416+8=24

Entonces, Tendrás 24 años en 2030.

Espero que te sirva, salu2!!!!

8 0
2 years ago
A cylinder has a diameter of 6 ft and height of 9 ft. What is the volume of this cylinder?
Setler79 [48]
First, you've got to figure out the value of the radius so divide the diameter by two. Then, you'll want to find the area of the base or pi times radius squared.
(3.14x3^2)x9=V
After doing the math your answer comes out to 254.34 cubic feet or feet^3
7 0
3 years ago
solve for x and y ,32base x+51base y and 23base x +42 base y =710. ,number bases interms of simultaneous equation​
In-s [12.5K]

Answer:

<h2>x = -348.5, y = 350.5</h2>

Step-by-step explanation:

32base x means 3x + 2

Similarly, 32base x+51base y equals to 3x + 2 + 5y + 1 = 3x + 5y + 3

and 23base x +42 base y means 2x + 3 + 4y + 2 = 2x + 4y + 5

As per the given condition, 3x + 5y + 3 = 2x + 4y + 5\\x + y = 2

Putting, y = 2 - x in 2x + 4y + 5 = 710, we get

2x + 4y = 705\\2x + 4(2 - x) = 705\\8 - 2x = 705\\4 - x = 352.5\\x = -348.5

y = 2 - x = 2 - (-348.5) = 2 + 348.5 = 350.5

6 0
3 years ago
63 40 51 70 36 21 51 28 19 find the mean of data
nikklg [1K]

Answer:

42.11

Step-by-step explanation:

Add all of the numbers, and then divide the total of the numbers by 9. With 9 being how many numbers are added.

5 0
3 years ago
Other questions:
  • Brenda mails a package to a grandson that weighs 210 grams. About how many ounces is the package? Use 1 ounce = 28.4 grams.
    12·1 answer
  • one negative number is 4.5 more than another number. the sum of the squares of these numbers is 46.25. Find both
    6·1 answer
  • Help brainiest answer
    5·1 answer
  • Quadrilateral ABCD is inscribed in this circle. What is the measure of angle A? Show your work.
    8·2 answers
  • The ratio of pencils to erasers is 4:1 if there are 208 pencils,how many erasers are there?
    15·1 answer
  • What is the selling price of a dining room set at Macy’s? Assume actual cost is $770 and 52% markup on selling price
    6·1 answer
  • Please help asap! 10 points given if correct!
    6·1 answer
  • Classify scatter plot
    13·2 answers
  • Convert 800 grams into ounces. Round your answer to the nearest tenth.
    8·1 answer
  • Find the coordinate of the point where y-4x=1
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!