(URGENT)Determine the cross product of the vectors: x x y​

(URGENT)Determine The Cross Product Of The Vectors: X X Y

Answers

Answer 1

x x y = (13 i + 4 j - 9 k) x (- i + 7 j - 4 k)

Distribute the cross product:

x x y = 13*(-1) (i x i) + 4*(-1) (j x i) + (-9)*(-1) (k x i)

........... + 13*7 (i x j) + 4*7 (j x j) + (-9)*7 (k x j)

........... + 13*(-4) (i x k) + 4*(-4) (j x k) + (-9)*(-4) (k x k)

x x y = -13 (i x i) - 4 (j x i) + 9 (k x i)

........... + 91 (i x j) + 28 (j x j) - 63 (k x j)

........... - 52 (i x k) - 16 (j x k) + 36 (k x k)

By definition of the cross product, we have

i x i = j x j = k x k = 0

i x j = k

j x k = i

k x i = j

and for any two vectors x and y, the product is anti-symmetric:

x x y = -(y x x)

This makes the products on the "diagonal" vanish, and we can condense terms using the anti-symmetry property:

x x y = (4 + 91) (i x j) + (9 + 52) (k x i) + (63 - 16) (j x k)

x x y = 95 k + 61 j + 47 i

x x y = 47 i + 61 j + 95 k


Related Questions

HELP ME PLEASEEE thanks

Answers

Answer:

47°

Step-by-step explanation:

Since x and 133° are supplementary (meaning they add up to 180°), x + 133 = 180 so that means x = 47°.

Which statements are symmetric reflexive or transitive

Answers

Answer: 1st is reflexive

Step-by-step explanation:

Given f(x) = –2x + 2, find f(6).

Answers

Answer:

-10

Step-by-step explanation:

_________________________________

Solution,

f(X)= -2x+2

f(6)= -2*6+2

= -12+2

= -10

So the right answer is -10.

hope it helps

Good luck on your assignment

______________________________

Sam has three identical tennis balls with a diameter of 2.7 inches. Determine the volume of all three tennis balls?

Answers

Answer:

They are 30.93 in³ altogether.

Step-by-step explanation: V = 4/3 π r³

r = 2.7/2 = 1.35

π x 1.35 x 1.35 x 4/3 = 10.31 in³

10.31 x 3 = 30.93

29 40 40 40 40 41 51 56 62 63 whats the interquarile range​

Answers

Answer:

At a glance, we use the middle values and not sure if you have made the outer quartile numbers inclusive.

Based on you doing so we take the 56-40 = 16 range

If you haven't included outside numbers

We take the 63-29 = 34 range

Step-by-step explanation:

What is 3 to the tenth power

Answers

Answer: 59049

Step-by-step explanation: 3 to the power of 10 = 310 = 59049.

( I hope this helped <3 )

The number 3 raised to the power of 10 (that is [tex]3^{10[/tex]) is calculated as: 59,049.

How to find the tenth power of a number?

The step-by-step calculation for 3 to the tenth power ([tex]3^{10[/tex]) is shown and explained below:

Start with the base number, which is 3.

Multiply the base number by itself to the power of 1:

[tex]3^1[/tex] = 3

Continue multiplying the result by the base number for each subsequent power:

3² = 3 × 3 = 9

3³ = 3 × 3 × 3 = 27

[tex]3^4[/tex] = 3 × 3 × 3 × 3 = 81

[tex]3^5[/tex] = 3 × 3 × 3 × 3 × 3 = 243

[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729

[tex]3^7[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2,187

[tex]3^8[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 6,561

[tex]3^9[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 19,683

[tex]3^{10[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 59,049

Therefore, 3 raised to the power of 10 is equal to 59,049.

Learn more about powers on:

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using soh cah toa find length of WX and round to the nearest tenth of a foot?

Answers

Answer:

The length WX is about 14 feet.

Step-by-step explanation:

This problem involves finding the adjacent side to a known acute angle in a right-angle triangle, therefore, the trigonometric function that we use is that of the tangent of the angle:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(31^o)=\frac{8.4}{x}\\x=\frac{8.4}{tan(31^o)}\\x=13.9799\\x \approx 14[/tex]

Therefore, the length WX is about 14 feet.

The answer is 14 feet listen to the guy above me

If Larry gets 5% of 80 questions wrong, how many did he get correct? Provide an explanation :)

A. 8
B. 70
C. 4
D. 76

Answers

Answer:

The answer is D.

Step-by-step explanation:

Given that Larry wrong 5% of the questions and he correct the remaining 95%. So in order to find how many questions he correct, first, you have to convert the percentage to decimal by dividing it by 100 :

[tex]95\% = \frac{95}{100} = 0.95[/tex]

Next, you have to multiply by the total number of questions :

[tex]0.95 \times 80 = 76 \: questions[/tex]

5% of 80 is 4, so he got 4 wrong
80-4=76
he got 76 correct

I don’t need you to explain just answer.

Answers

Answer:

Simplify the expression.

i could not type in exponent so just open the screen shot

Step-by-step explanation:

i Hope it works

I need help cause I don’t understand the concept

Answers

Answer:

make a graph based on the equation

Step-by-step explanation:

then match the graph you made to the answer choices

what is the volume of a prism with a height of 4 feet and a base area of 9 square feet?

Answers

Answer:

36 units³

Step-by-step explanation:

To find the volume of a prism, you must multiply the base times the height. 4×9=36.

Can you help me please. Hint it's not 18!!!!!✌✌

Answers

Answer:

14

Step-by-step explanation:

15 × 2 = 306 × 2 = 12That gives you 5/15 remaining for the 30/35 which is 1/31/3 of six is 2that would be 12 + 214 would be the amount of red paint needed

Answer: it is b

Step-by-step explanation: because you are trying to find the total of red paint

Tristan is working two summer jobs, making $7 per hour babysitting and $19 per hour lifeguarding. Tristan must earn at least $210 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours lifeguarding, ll, that Tristan can work in a given week.

Answers

Answer: 7bb +19 ll ≥210

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)

Mathematically speaking:

7 bb + 19 ll ≥210

If the circumference of a circle is 484 cm, what is the area and diameter

Answers

Answer:

[tex]18641.50 \: cm^2\\154.06 \: cm[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

[tex]484=\pi d[/tex]

[tex]\frac{484}{\pi } =d[/tex]

[tex]d=154.06198[/tex]

[tex]A=\pi r^2[/tex]

[tex]\pi (\frac{d}{2}) ^2[/tex]

[tex]\pi (\frac{154.06198}{2}) ^2[/tex]

[tex]A=18641.49898[/tex]

Answer:

The area of the circle is approximately 18641.5 because you need to round to the nearest place value. The diameter of the circle is approximately 154.06.

Step-by-step explanation:

Area=πr2

Circumference=2πr

Solving for Area

Area= C²/4 π = 484²/4·π ≈ 18641.50017

———————————————————————————

Circumference =2πr

Diameter= πr

Solving for Diameter

Diameter= C/π = 484/π≈ 154.06198

A right pyramid on a base 4cm square has a slant edge of 6cm Calculate the volume.
2. The slant edge of a right pyramid with rectangular base is 14. 6cm and height is 1.2 cm .If the length of one of the sides of the base is 8. 4 cm find the surface area.
Please help with at least one.

Please show workings.​

Answers

Answer:

L*b

6*4

24cm

L*b*h

14.6m *1.2cm *8.4cm

=147.168

Answer:

This is the answer to No 1.

Volume= 48√5

Tommy tosses a penny 100 times. He finds that when he tossed the penny it landed heads 38 times. Tommy thinks he tossed the penny the wrong way.

is this theoretical or experimental
any why?

Answers

Answer:

Experimental

Step-by-step explanation:

It is not a theory he actually tossed the penny

Find the area of the following shapes:

Answers

Answer:

24 square units

Step-by-step explanation:

You apply area of a trapezium

Kevin is buying a cover for his circular swimming pool. If the diameter is 20 feet, how much
material will it take to cover the pool? Use 3.14 for pi.
31.4 ft2
62.8 ft2
98.6 ft2
314 ft?

Answers

Answer:

314 ft²

Step-by-step explanation:

3.14(10)²

(3.14)(100)

314

Which is the solution to -3k-2k+12 = 2k-9?​

Answers

Answer:

k =3

Step-by-step explanation:

-3k-2k+12 = 2k-9

-5k+12 = 2k -9

Add 5k to each side

-5k+5k+12 = 2k+5k-9

12 = 7k-9

Add 9 to each side

12 +9 = 7k-9+9

21 = 7k

Divide each side by 7

21/7 = 7k/7

3 =k

[tex]answer = 3 \\ solution \\ - 3k - 2k + 12 = 2k - 9 \\ or, \: - 3k - 2k - 2k = - 12 - 9 \\ or, \: - 5k - 2k = - 21 \\ or, \: - 7k = - 21 \\ or, \: k = \frac{ - 21}{ - 7} \\ k = 3 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

1. What is the solution to the compound inequality 85 < 17m <136?

a. 5 < m or m<8
b.5<m and m<8
c. 5 > mor m > 8
d. 5 >m and m > 8​

Answers

Answer:

The answer is b.

Step-by-step explanation:

First separate it into two inequalities.

85<17m and 17m<136

For the first one,

Divide both sides by 17.

5<m

For the second one,

Divide both sides by 17.

m<8.

Therefore, 5<m and m<8. It is and not or because the compound inequality lists them together, not with an or separating it.

Hope this helped.

Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given that,

The solution to the compound inequality [tex]85 < 17m < 136[/tex].

Now,divide both sides by [tex]17[/tex].

[tex]\frac{85}{17} < \frac{17m}{17} < \frac{136}{17}\\\\5 < m < 8[/tex]

Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)

To know more about the inequality

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What is an equation of a circle with center (2, -1) that passes through the point (3, 4)?

Answers

Answer:

(x - 2)^2 + (y + 1)^2 =  26

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

=> The radius of this circle is OA which could be calculated by:

OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]

The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

    (x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2

<=>(x - 2)^2 + (y + 1)^2 = 26

Hope this helps!

Answer:

(x-2)²+(y+1)²=26

Step-by-step explanation:

(x-2)²+(y+1)²=26

distance formula for radius

√(3-2)²+(4--1)² = √26

(x-h)²+(y-k)²=r²

8 - n = -4 what does N equal

Answers

Answer:

Make N alone

There is an 8 so we subtract 8 from both sides so the equation is still equal

-4 - 8 = -12

Because we are subtracting N it is positive

N = 12

8 - 12 = -4

Hope this helps

Step-by-step explanation:

please help! 10 points! its quite easy but im lazy What is the value of x in the equation 4(2x + 14) = 0? (1 point)

Answers

Answer:

[tex]x=-7[/tex]

Step-by-step explanation:

[tex]4(2x + 14) = 0[/tex]

[tex]8x+56 = 0[/tex]

[tex]8x=-56[/tex]

[tex]x=-56 \div 8[/tex]

[tex]x=-7[/tex]

Answer:4(2x+14)=0

8x+56=0

8x=-56

x=-7

Alan can run 5 miles in 40 minutes. If he maintains the same pace, what is the greatest number of miles he can run in 160 minutes?

A. 40

B. 60

C. 20

D. 30

Answers

(c) 20 ; each mile takes 8 minutes, therefore if you divided 160 by 8 your product would be 20

Answer:

C)20

Step-by-step explanation:

Cuz 160/8 is 20

Identify the vertex of the parabola plssss..!!!!!!

Answers

Answer:

the vertex is (4,-1)

help! plz and thx! what is 4:08 - 1:15 = ?:? plz, help WITH AND WITHOUT REGROUPING thx!!!!!!! I will give u the brainiest! plz and thx!

REMEMBER... I WILL GIVE U THE BRAINLIEST!!!!!!!

Answers

Answer:

2:53

Step-by-step explanation:

I believe that you are subtracting times here, so have in mind that if the first number indicates hours, and the second number minutes, and you are asked to subtract more of one quantity (minutes for example) than what you have, you will need to convert some of the hours into minutes.

Recall that 1 hour equals 60 minutes.

in the difference   4:08 minus 1:15, you sre expected to subtract minutes from minutes and hours from hours. Now the number of minutes you need to subtract from 08 is 15 (larger than 08) so we need to convert 1 hour into minutes in the first expression, and then (with enough minutes to deal with), we can subtract:

4:08 is the same as 3:68 where we converted 1 hour to 60 minutes and added those 60 minutes to the existing 8 .

Now the difference can be performed:

3:68 - 1:15 = (3-1):(68-15) = 2:53

A worker bee has a mass of 1*10^-4. There are 4*10^4 worker bees living in one hive. What is the mass of all the worker bees in the hive together? Write your answer in scientific notation.

Answers

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex]1 \times 10^{-4} \times 4 \times 10^{4}[/tex]

[tex]4 \times 1 \times 10^{-4} \times 10^{4}[/tex]

[tex]4 \times 10^{-4+4}[/tex]

[tex]4 \times 10^{0}[/tex]

[tex]4[/tex]

Answer:

4 x 10^0

Step-by-step explanation: That is the correct answer on khan academy

Work out the value of a

Answers

Answer:

a=30

Step-by-step explanation:

I don't say you must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

The value of a is 30 degree

hope it helps..

Good luck on your assignment

Which number produces an irrational number when multiplied by 0.4?

Answers

Answer:

B unless it isnt

Step-by-step explanation:

B- some long decimal

(It’s pi. I hate pi.)

PLEASE HELP ME OUT. THIS IS DUE TODAY.

Answers

Answer:

Round up because it is necessary to count the extra decimal payment as another payment. You can't round down because then it wouldn't all be paid off.

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