Let $$\mathbf { u } , \mathbf { v } , \text { and } \mathbf { w }$$ be vectors. Which of the following make sense, and which do not? Give reasons for your answers. $$
a.( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { w }\quad
b. \mathbf { u } \times ( \mathbf { v } \cdot \mathbf { w } )\ quad
c. \mathbf { u } \times ( \mathbf { v } \times \mathbf { w } )\quad
d. \mathbf { u } \cdot ( \mathbf { v } \cdot \mathbf { w } ).$$

Answers

Answer 1

(u × v) • w makes sense, since u × v is another vector, and so (u × v) • w is a scalar.

u × (v • w) does not make sense, since vw is a scalar, and the cross product is not defined between a vector and a scalar.

(u × v) × w makes sense, since u × v is a vector and so is w.

u • (v • w) does not make sense, since v • w is scalar, and the dot product is not defined between a vector and a scalar.


Related Questions

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

square root of the quantity x plus 7 end quantity minus 1 equals x

Answers

Answer:

x=2  true solution

x=-3 extraneous

Step-by-step explanation:

sqrt(x+7) -1 = x

Add 1 to each side

sqrt(x+7) -1+1 = x+1

sqrt(x+7)  = x+1

Square each side

(sqrt(x+7))^2  = (x+1)^2

x+7 = x^2 +2x+1

Subtract x from each side

7 = x^2 +x +1

Subtract 7 from each side

0 = x^2 +x - 6

Factor

0 = (x+3)(x-2)

Using the zero product property

x+3 = 0   x-2 =0

x=-3  x=2

Check solutions

x=-3

sqrt(-3+7) -1 = -3

sqrt(4) -1 = -3

3 =-3  extraneous

x=2

sqrt(2+7) -1 = 2

sqrt(9) -1 = 2

3 -1 =2

2 =2  true

Where is the blue dot on the number line? (please hurry!)

Answers

Answer:

The point is at -0.58

Step-by-step explanation:

If you count each line, they each represent 0.1, so -0.55, -0.56, -0.57 and -0.58 is the 4th line

Answer:

-0.58

Step-by-step explanation:

Each division is 1/100  or 0.01

-(0.55 + 0.01) = - 0.56

-(0.56 +0.01) = -0.57

-(0.57 + 0.01) = -0.58

convert 8 1/10 into an improper fraction

Answers

Answer:

81/10

Step-by-step explanation:

Q: Marci wants to prove that the diagonals of
a rectangle are congruent. Which of these
procedures would be best for Marci to use
to write a correct proof?

a) She should use the fact that the
diagonals of a square are perpendicular
and then use the triangle-angle-sum
theorem.

b) She should use the fact that the
opposite sides of a parallelogram are
congruent and then use the
Pythagorean theorem.

c) She should use the fact that the
opposite angles of a parallelogram are
congruent and then use triangle
similarity relationships.

d) She should use the fact that the
diagonals of a parallelogram bisect the
angles of the parallelogram and then
use triangle congruence relationships.

Answers

Answer: Option B

She should use the fact that the

opposite sides of a parallelogram are

congruent and then use the

Pythagorean theorem.

We cannot use the diagonals of square property because this is a rectangle, opposite angles will also not work, and we cannot use the diagonal property because thats what we have to prove.

Must click thanks and mark brainliest

I WILL GIVE BRAINLIEST!! plz no links

9) Simplify.

Answers

Answer:

root 3/4

Step-by-step explanation:

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

Answers

The answer is 11≠4 not sure I understand tho

Answer:

Step-by-step explanation:

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 5x2-X-4 = 0 A. -4/5 B. 5/4C. 2/3 D. 1 E. -1 F.3/2​

Answers

Hi

5x²-x-4 = 0  

Δ= (-1)² - 4*5*(-4)

Δ =  1 -4*-20

Δ = 1  +80

Δ = 81  

√Δ=  9

as Δ ≥ 0 , so 2 solutions exist in R

S1 is :    ( 1+9) /2*5  =   10/10 = 1

s2 =      (1 -9)/2*5 =  -8/10 = -4*2 /2*5  = -4/5

Corrects answers are  A  and  D

Answer:

A. -4/5 And D. 1

Step-by-step explanation:

i just got it right

25 mi/h ≈ _______ft/s

Answers

There are 5280 feet to 1 mile, and 3600 seconds to 1 hour. So

(25 mi/h) × (5280 ft/mi) × (1/3600 h/s) = 110/3 ft/s ≈ 36.7 ft/s

Hi

1 mile is 5280 feet.  

1 hours is 3 600 seconds  

So 25 mi/h  is   25* 5280   = 132 000 feets in 3 600 seconds.

So  :   132 000 /3 600 =   1 320 / 36 =36.66

25 mi/h≈ 36.6666 ft/s

I need help ASAP!! Please explain how to solve the problem

Answers

Answer:

132 km^2

Step-by-step explanation:

For this type of question, we’re looking for the surface area (SA) for the shape.

To do this, use the surface area (SA) formula

SA = 2lh + 2lw + 2hw where l = length w = width & h = height

But before we go ahead, this formula is only used for triangular shapes. So what we’re going to do is find the surface area and then split it in half.

SA = 2(8)(6) + 2(8)(6) + 2(6)(6) / 2

SA = (2(48) + 2(48) + 2(36)) / 2

SA = (96 + 96 + 72) / 2

SA = 264/2

SA = 132

The surface area is 132 km^2

A rectangular school yard has a perimeter of 114 meters and an area of 702 square meters. What are the dimensions of the school yard?

Answers

18 by 39.

Reason:
2x+2y=114 (perimeter)
XY=702 (area)
X=18
Y=39

Find the squares of the following:
1)2a+1 2) 3b+2c 3) 2p²+3q²

Answers

Answer:

1. 4a^2 + 4a + 1

2 9b^2 + 12bc + 4c^2

3 4p^4 + 12p^2q^2 + 9q^4

Step-by-step explanation:

[tex](32)^{1/5}[/tex]

Answers

Answer:

2

Step-by-step explanation:

[tex] {32}^{ \frac{1}{5} } [/tex]

[tex] = \sqrt[5]{32} [/tex]

[tex] = \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2} [/tex]

= 2 (Ans)

The vertex is 2,-4 what is the parabola equation

Answers

Answer:

y + 4 = (x - 2)^2

Step-by-step explanation:

The vertex form of the equation of a vertical parabola is

y - k = a(x - h)^2, where (h, k) represents the vertex and a is a scaling factor which stretches or compresses the parabola vertically.  If all we know is the vertex (2, -4), then the desired equation is:

y + 4 = a(x - 2)^2

If there is no vertical stretching or compression, then the equation becomes:

y + 4 = (x - 2)^2

Answer:

y = x² - 4x

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (2, - 4) , with a = 1 , the equation is

y = (x - 2)² - 4 ← expand using FOIL

 = x² - 4x + 4 - 4

y = x² - 4x ← equation of parabola

15 × u= 135
---------------

Answers

Answer:

15u = 135

Divide both sides by 15

u = 135/15 = 9

U is equal to 9

Hope this helps!

[tex]15 \times 4 = 135 \\ divide \: both \: sides \: of \: equcation \\ by \: 15 \\ \frac{15u}{15} = \frac{135}{15} \\ u = \frac{135}{15} \\ u = 9[/tex]

What is -3/4+2 3/4?

1.3 1/2
2.3 3/4
3.2/ 1/2
4. 2

Answers

Answer:

[tex]2[/tex]

4th Answer is Correct

Step-by-step explanation:

[tex] - \frac{3}{4} + 2 \frac{3}{4} \\ \frac{ - 3}{4} + \frac{11}{4} \\ \frac{ - 3 + 11}{4} \\ = \frac{8}{4} \\ = 2[/tex]

4th answer is correct

Fraction -3/4 can be written as - 3/4 by extracting the negative sign.

Multiply 2 and 4 to get 8

add 8 and 3 to get 11

Since -\frac{3}{4} and \frac{11}{4} have the same denominator, add them by adding their numerators.

Add -3 and 11 to get 8

Divide 8 by 4 to get 2

so answer is 2

Rewrite using exponents

AxAxAxAxAxAxA



need answer quick!!! please

Answers

Answer:

A^7

Step-by-step explanation:

When think of a number double it
and add five and get 13 What the number I
Thought


Answers

Let the no be x

ATQ

[tex]\\ \sf\longmapsto 2x+5=13[/tex]

[tex]\\ \sf\longmapsto 2x=13-5[/tex]

[tex]\\ \sf\longmapsto 2x=8[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{8}{2}[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

Find the length and the breadth of a rectangular plot whose area is 660 sq.m and its perimeter is 104 m.​

Answers

Answer:

l=30

or

22 it is the coret anser

Gregg’s phone plan charges $.50 per text message plus $.70 a day. Howard’s plan charges $.30 a text plus $2.50 a day. For what number of texts, a day are the cost of the phone plans the same? Show work.

Answers

Answer:

x=9

Step-by-step explanation:

.5x+.7 = .3x+2.5

     -.7   -.3x

.2x=1.8

/.2    /.2

x=9

.5(9)+.7=5.2

.3(9)+2.5=5.2

A water sprinkler sends water out in a circular pattern. How large is the watered
area if the radius of the watering pattern is 3 feet?
Use 3.14 for pi.

____feet squared

Answers

28.26 feet squared

Work:
A = π r²
A = 3.14 (3²)
A = 3.14 (9)
A = 28.26

Change 300mm into cm​

Answers

Answer:

30 cm

Step-by-step explanation:

divide by 10

Answer:

300mm —> 30 cm

1mm= 0.1cm

I hope I helped you^_^

pls answer i will mark brainliest

Answers

Answer:

Part one:

In terms of price;

[tex]2x + \frac{5}{2} y = 19 \\ \\ 4x + 5y = 38 - - - (equation \: \: 1)[/tex]

In terms of people, each person will get one snack:

[tex]x + y = 8 - - - (equation \: \: 2)[/tex]

Part two:

[tex]in \: equation \: 2 : \\ x = 8 - y \\ substitute \: for \: x \: in \: 1 : \\ 4(8 - y) + 5y = 38 \\ 32 - 4y + 5y = 38 \\ y = 6 \\ \\ therefore : x = 2[/tex]

Sam bought 2 bags of chips

Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ABC = DEF?

Check all that apply.

A. AAS
B. LA
С. НА
D. HL
E. SAS
F. SSS

Answers

Answer:

D, F, E

Step-by-step explanation:

As the legs and hypotenuse are equal, HL can be used. All the sides are equal so SSS can be used. Two pair of sides and 90 degrees are equal so SAS can be used

please help me with this!!

Answers

Answer:

Angle BFC = EFD.

So, Angle AFE = AFB + 2(BFC) + CFD

AFE = 25 + 2(57) + 34

AFE = 25 + 114 + 34

AFE = 139 + 34

AFE = 173

So B is correct.

Let me know if this helps!

If S is the midpoint of RT, RS = 5x + 17, and ST = 8x - 31, find RS. Show work!

Answers

Answer:

97

Step-by-step explanation:

Since S is the midpoint of RT, and when you split the line into two you'd get two distances that are equidistant. Therefore, you can make the two distances into an equation. When combined together, the result will be the total length of the line.

5x + 17 = 8x - 31

Now simply just solve for "x"

5x + 17 = 8x - 31

5x + 48 = 8x

48 = 3x

48/3 = 3x/3

16 = x

Once you get x, plug it into the equation "RS = 5x + 17"

5(16) + 17

80 + 17

97, which is our final answer.

An 8μC charge is moving through a 10T magnetic field at a speed of 2.5⋅107 m/s perpendicular to the direction of the field. What is the force on the charge

Answers

THIS IS YOUR ANSWER

HOPE IT HELPS YOU

The diameter of a circle is 4 cm. Find its area to the nearest tenth.

Answers

Answer:

12.6

Step-by-step explanation:

use pi r squared to get the answer

Answer:

12.6 cm^2

Step-by-step explanation:

Diameter of circle=4 cm

Radius of circle=2 cm

Area of the circle=pi*r^2=pi*4=12.6 cm^2

The plot of land illustrated in the accompanying diagram has a perimeter of 34 yards. Find the length, in yards, of each side of the figure

Answers

Answer:

Length of x+3= 6.75

Length of 4x=15

Length of 3x-1=10,25

Step-by-step explanation:

First make an equation and find x x+3+3x+1+4x=34Then solve for x, answer will be 3,753,75 represents x

A car travels at an average speed of 30 km/h for 4 hours. The distance travelled is
A. 7.5 km
B. 120 km
c. 0.13 km
D. 34 km

Answers

the correct asnwer is D.34

Answer:

B

Step-by-step explanation:

distance = speed × time = 30 × 4 = 120 Km → B

A
A 30 m high pillar has been broken 10 m above from the ground. The tip of the broken part makes an angle of ...........with the ground

Answers

Answer: Angie of 30 degrees

- 30m high pillar has been broken 10 m above ground = 20m

So,

sin0 = 10/20
sin0 = 1/2
= 30 degrees
Other Questions
10 times as much as 9 If y varies directly as x and y = 42 when x = 6, find the equation that gives the relationship between x and y.Question 5 options:A) y = 7xB) y = 7xC) x = 7yD) y = xx What section of the outline is represented by "1. Africa?" In what year did world war 1 start which of the following are strategies should you use when prereading a novel or story Simplify:5x+2(32x)+7x + 1312x9x + 13 Help with a,b and c i will rate A manufacturer determines that the cost of making a computer component is $4.171717 Write the repeating decimal cost as a fraction and as a mixed number. local unit of measurement of length : confined to a particular place cise Choose the best answer from the given alterna MKS system stands for ........ i. mass, kilogram and second ii. metre, kilogram and second iii. metre, kilometre and second iv. metre, kilogram and standard Find the number of five-digit numbers which are not divisible by 5? NEED ANSWER FAST 50 POINTSA mixture of copper sulfate and water is heated, leaving a residue of copper sulfate in the container. Which method was used to separate the mixture?A. chromatographyB. evaporationC. filtrationD. distillation Find the equation of the line thatis parallel to y = 4x + 1 andcontains the point (1, 1).y = [? ]X + [ ] g. I waited for him I the clock struck seven (Put the correct conjunction in the blank to complete the sentence) h. He was annoyed. He didn't say anything. (although) (Join the sentences with the word given in the bracket) i. He is a musician. His albums have sold millions. (join the sentences with appropriate relative clause) j. I hate people laughing at me. (Change into passive) 8. Do as instructed. (5x155) a. Arrange the following words in alphabetical order. (3) Advance, analysis, assure, attain, anxiety, acute b. Classify the underlined words into different word classes. (2) Hari works very hard all the time but his wife is very lazy what was the control group for this experiment? Differences between panchayat and multi party systems ? What is the speaker's profession?ComadronaAbogadaSecretariaCajera Correct answer gets 5 star Ice Co stock has a beta of 1.85, the current risk-free rate is 5.10 percent, and the expected return on the market is 15.10 percent. What is Ice Co's cost of equity math helpplease. thank you. what is counter current mechanism?