2. Find the vector equations of the following lines:

a. A=(6,5,7),m=2i+5j–k
b. A=(8,6,2),B=(3,4,1)

Answers

Answer 1

Answer:

a) The vector equation

[tex]AB^{-} = -4i^{-} -0j^{-} -8k^{-}[/tex]

b) The vector equation

  [tex]AB^{-} = -5i^{-} -2j^{-} -k^{-}[/tex]

Step-by-step explanation:

Step(i):-

a)

Given that the points are A( 6,5,7) and B = m = 2i+5j-k

OA = 6i+5j+7k and OB = 2i+5j-k

AB = OB-OA

    =  2i+5j-k - (6i+5j+7k)

    = 2i -6i +5j-5j-k-7k

   =  [tex]-4i^{-} -0j^{-} -8k^{-}[/tex]

b)

Given that the points are A( 8,6,2) and B = (3,4,1)

OA = 8i+6j+2k and OB = 3i+4j+k

AB = OB-OA

     = 3i+4j+k -(8i+6j+2k)

    = 3i -8i +4j-6j+k-2k

    =  [tex]-5i^{-} -2j^{-} -k^{-}[/tex]


Related Questions

Find the LCM for each pair of numbers. 2, 5 8, 10

Answers

The LCM of 2,5,8,10 is 40

When do we use pooling in inference?

Answers

There are two versions of this test, one is used when the variances of the two populations are equal (the pooled test) and the other one is used when the variances of the two populations are unequal (the unpooled test).

Answer:

There are two versions of this test, one is used when the variances of the two populations are equal (the pooled test) and the other one is used when the variances of the two populations are unequal (the unpooled test).

Step-by-step explanation:

Like please help-and show work!

Answers

14+4^2\14-3*4 = 15 your answer is 15

Mary has a container filled with 20 ounces of cereal. Each day she eats 4.5 ounces
of cereal.
• Write an expression to represent the amount of cereal left after x days.

Answers

Answer:quin hill from ms Henry math class?!?!?!?! Why are you on brainly.....

Step-by-step explanation:3.1

-8 is a term true or false

Answers

True, -8 is a term. Have a great day.

HURRY!
What are all the possible rational solutions for x^4-3x^2+2x5=0

Answers

Answer: x = 1

x =(-3-√-15)/4=(-3-i√ 15 )/4= -0.7500-0.9682i

x =(-3+√-15)/4=(-3+i√ 15 )/4= -0.7500+0.9682i

x2 = 0

Step-by-step explanation:

In the diagram below, DE is parallel to XY. What is the value of y?​

Answers

Answer:

94

Step-by-step explanation:

Y is the alternate interior angles of the degree that measures 94. This means that they are congruent so y=94

Y is also 94° due to the z pattern created by the parallel lines and the line running through them

What expression is equivalent to 9(9m + 3t)?

Answers

Answer:

81m+27t

Step-by-step explanation:

Answer:

81m + 27 t

Step-by-step explanation:

Question 1 ?

Question 2 ?

Question 3 ?

Question 4 ?

Question 5 ?

Answers

Answer:

1. 90 degrees

2. 23 degrees

3. 67 degrees

4. 5 units

5. 12 units

90°

23°

67°

5 units

12 units

HELP PLEASE DUE TODAY

Answers

1 A. 5

1 B. 12.9

2. For this one, u can write any number less than 4.7, which could be 3, 2, -100, 1.21, etc.

3. For this one, u can write any number greater than (positive!) 2.6, such as 10, 30, 3.1415, etc.

hope this helps!

Can someone please help me​

Answers

uhhhhhhhhhhhhhhhhhhhh

Tom received 55 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 10 dollars left over, how much did he spent on the baseball gear ?

Answers

Answer:

$45

Step-by-step explanation:

Given that :

Amount collected = $55

Amount left after purchasing sporting gear = $10

The cost of sorting gear:

Amount collected - amount left after purchase

$55 - $10 = $45

Apply the distributive property to create an equivalent expression.

-9•(5j+k)

Answers

-45j+-9k
because -9 times 5j is -45j
and -9 times k is -9k

Anais bought 4 1/2 yards of ribbon. She had 3 feet 8 inches of ribbon left after trimming some curtains. How many inches of ribbon did anais use to trim the curtains

Answers

Answer:

First convert all numbers into inches since that is the answer being solved for.

1 yard =36 inches

4.5 x 36 = 1,620 inches

1 foot = 12 inches

3 x 12 = 36 inches

36 + 8 = 44 inches

Now take 1,620 inches (starting ribbon measure) and subtract 44 inches (what was left over) to get the inches used to trim curtains.

1,620 inches - 44inches =

1,576 inches were used to trim the curtains.

Step-by-step explanation:

Brainly highly appreciated <3

Hola me podrían ayudar por favor Convertir las fracciones a números decimales y colocar los decimales en la recta numérica: a. 2/3 b. 8/5 c. -5/2 d. 7/4 e. 9/2 f. -11/3 g. 13/5 h. -7/4

Answers

Answer:

a. 2/3 = 0.67

b. 8/5 = 1.6

c. -5/2 = -2.5

d. 7/4 = 1.75

e. 9/2 = 4.5

f. -11/3 = -3.67

g. 13/5 = 2.6

h. -7/4 = -1.75

Step-by-step explanation:

Convirtiendo las fracciones dadas a decimales, tenemos:

a. 2/3 = 0.67

b. 8/5 = 1.6

c. -5/2 = -2.5

d. 7/4 = 1.75

e. 9/2 = 4.5

f. -11/3 = -3.67

g. 13/5 = 2.6

h. -7/4 = -1.75

I need help with Geometry

Answers

it’s square root 240 or in radical form 4 root 15

1 Which expression is equivalent to 4 − (−7)?


A 7 + 4


B 4 − 7


C −7 − 4


D −4 + 7

Answers

Answer:

The answer is A

Step-by-step explanation:

4−(−7)

=4−(−7)

=4+7

=11

V70





Estimate the square root of the number below to the nearest tenth

Answers

8.4 hope that helps
It’s 777777777777777222222222.000002020202020202202020202020

Why are these two triangles are congruent and prove reason

Answers

Answer:

SAS

Step-by-step explanation:

UN || A?

SN || D?

m< N ≅ m<?

Side angle side.

SUN ≅ DA?

? Is the angle that is not marked or cropped off

if u solve this ur cool

Answers

Answer: A rectangle is ALWAYS a parallelogram and not all parallelograms are rectangles. (ex. Rhombus, square are both parallelograms) So Ainsley is wrong.

Step-by-step explanation: Parallelograms is a quadrilateral shape with 2 pairs of parallel sides. So, a rectangle has to always be one.

Explain which hill is steeper: a hill woth rise of 5 and a run of 3 of a hill with rise of 3 and a run of 5.

Answers

Hill with rise of 5 and run of 3

0
o
C
-10
-5
-5
0
5
10
-5

Answers

Answer:

its -10

Step-by-step explanation:

NO explain needed

I need help !! This is being timed

Answers

How much time do Uu have?

First Blank: 18.5

Second Blank: 37

HURRRY WILL GIVE BRAINLIEST​

Answers

Answer:

15

Step-by-step explanation:

Since we can see that the total angle value will be 90 degrees we can write an equation;

30+4x=90

4x=60

x=15

So your answer is 15

X = 15
This is so the other person can get brainliest :)

EXTRA POINTS ASAP
find the 10th term of the geometric sequence 3,15,75...
What is the equation for the sequence and what calculation was necessary to find the nth term indicated.

Answers

5,859,375
Multiply the previous term by 5

16, 4, 1.... Find the 6th term The first three terms of a sequence are given. Round to the nearest Thousand (if necessary).

Answers

The answer is 0.016. If you keep diving each number by 4, you will get that as the 6th term.

Have a great day :)

At a zoo, the price of 4 adult tickets and 6 child tickets is $77.The price of 6 adult tickets and 4 child tickets is $83. What is the ticket price for one adult and for one child?

Answers

Answer:

the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5

Step-by-step explanation:

Given that:

the price of 4 adult tickets & 6 child tickets = $77

the price of  6 adult tickets & 4 child tickets = 83

then the price of 1 adult ticket and 1 child ticket will be:

Let assume that the cost of 1 adult ticket to be $p

Then;

the cost of 4 adult ticket = $4p

Similarly, the cost of 6 adult ticket = $6p

However, assuming that the cost of 1 child ticket is $q

Then;

the cost of 6 child ticket = $6q

the cost of 4 child ticket = $4q

We can express them with their given prices that:

4p + 6q = 77    --- (1)

6p + 4q  = 83   --- (2)

From equation (1), let 4p = 77 - 6q

Then; [tex]p = \dfrac{77 - 6q}{4}[/tex]

replace the value of p into equation (2)

[tex]6 \Big ( \dfrac{ 77 - 6q }{4}\Big) + 4q = 83[/tex]

[tex]\dfrac{462 - 36q}{4}+ 4q = 83[/tex]

[tex]115.5 - 9q + 4q = 83 \\ \\ 115.5 -5q= 83 \\ \\ 115.5 - 83 = 5q \\ \\ 32.5 = 5q[/tex]

[tex]q= \dfrac{32.5}{5}[/tex]

q = 6.5

Since q = 6.5, then using equation (1)

4p + 6(6.5) = 77

4p +39 = 77

4p = 77 -39

4p = 38

p = 38/4

p = 9.5

Thus, the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5

1. Find the error and correct each problem: Jasmine wrote 100 - 10(4 + 2f) = 100 -
40 + 20f *

Answers

It’s supposed to be : 100 - 40 - 20f. Because you are supposed to distribute the negative sign across the whole expression.

Question 1
9 m
4 m
X
Solve for X. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

***PLEASE HELP ME WITH THIS I AM BEHIND*** I WOULD BE HAPPy

Which of the following values make the inequality x≤16.3 true?

Select all that apply. pick that all work more than one answer 17 points

. 18.5
. 8
. 16.3
. 14
. −3
. 32

Answers

Answer:

16.3, 14, 8, -3

Step-by-step explanation:

Any number less than 16.3 and 16.3 are acceptable answers

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