Answers
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
image In the figure, is the segment bisector of AB such that AP = 15x – 11 and PB = 9x + 25. Find the value of x. Question 5 options: A) 6 B) 5 C) 7∕3 D) 10
Answers
Answer:
[tex]x =6[/tex]
Step-by-step explanation:
Given
Bisected Sector AB;
AP = 15x - 11
PB = 9x + 25
Required
Find x
When a sector is bisected, it means the sector is divided equally into two;
Hence [tex]AP = PB[/tex]
This gives
[tex]15x - 11 = 9x + 25[/tex]
Add 11 to both sides
[tex]15x - 11 + 11 = 9x + 25 + 11[/tex]
[tex]15x = 9x + 25 + 11[/tex]
[tex]15x = 9x + 36[/tex]
Subtract 9x from both sides
[tex]15x - 9x = 9x + 36 - 9x[/tex]
[tex]15x - 9x = 9x - 9x + 36[/tex]
[tex]6x = 36[/tex]
Divide through by 6
[tex]\frac{6x}{6} = \frac{36}{6}[/tex]
[tex]x = \frac{36}{6}[/tex]
[tex]x =6[/tex]
Hence, the value of x is 6
Answer:
x=6
Step-by-step explanation:
15x-11=9x+25
15x-9x=25+11
6x=36
x=6
Which values of x make the inequality below true?
5 - 3 + 3x < 13
Answers
explanation:
5 - 3 + 3x < 13
2 + 3x < 13
3x < 11
x < 11/3 or 3.67
examples:
x = 3
5 - 3 + 3(3) < 13
2 + 9 < 13
11 < 13 ✅
x = 4
5 - 3 + 3(4) < 13
2 + 12 < 13
14 < 13 ❌
Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle
Answers
Answer:
We find half the measure of the central angle of the circle. Where the given shape is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle is proven. We show this as Angle BAC is a RA 360 is the measure of circle 360/2 = 180 the semi circle Angle BAC is 180/2 = 90 degree.
Step-by-step explanation:
Hope it helps you!
Answer:
A circle measures 360 degrees, so a semicircle measures 180 degrees. By using the inscribed angle theorem, the measure of the inscribed angle would be half of 180 degrees, or 90 degrees, which is a right angle.
Step-by-step explanation:
Specifically from the edge answer just copy and paste
1) Function B: x -> /5 -> +1 = y
find the inverse function of Function B
2) find an expression for m in terms of p.
Answers
Answer:
5x-35
Step-by-step explanation:
f(x)=5x+7
y=5x+7
x=5y+7
x-7=5y
5x-35=y
expand the following 3(5n + 6)
Answers
Answer:
15n+18
Step-by-step explanation:
you have to multiply both integers(5n + 6) from inside the bracket with the number outside the bracket *3*
equation working below
3×5n=15n
3×6=18
final answer:
15n+18
Which of the following terms correctly describe the object below?
Check all that apply.
Answers
Answer:
Pyramid
Step-by-step explanation:
Because a pyramid has a polygon as its base
Answer:
The correct answers are A. polyhedron. and C. pyramid
Step-by-step explanation:
The net of a solid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 3 inches. The height of each triangle attached to the square is 4 inches. The base of the triangle is the side of the square. What is the surface area of the solid? WILL GET BRANLIEST! <3
Answers
Answer:
33 sq in
Step-by-step explanation:
Area of each triangular face is 1/2×3×4 = 6sq in
Hence total area of four(4) faces is 6×4 = 24sq in
Area of base is 3×3 = 9sq in
Hence Total area of pyramid is 24+9 = 33sq in
please need help I will be MARKING as BRIANILIST. thank you so much.
Answers
Answer:
C
Step-by-step explanation:
I am guessing that's it.
Answer:
A
Step-by-step explanation:
2m + 7
twice a number (m) increased by 7
or
7 more then twice a number (m)
A rectangular pyramid was sliced perpendicular to its base and through its vertex. What is the shape of the cross section shown in the figure?
A rectangular pyramid. The cross section is a triangle.
a triangle that has the same dimensions as one of the sides of the pyramid
a triangle that does not have the same dimensions as one of the sides of the pyramid
a parallelogram that is not a rectangle
a rectangle
Answers
Answer:
d
Step-by-step explanation:
a rectangle
The cross-section of the shape will be that of a triangle, hence the correction option is A.
What is a cross-section?Cross-sections are basically flat shapes that are formed when we slice through a solid shape.
A good idea of a cross-section is when you slice through a piece of potato.
Learn more about cross-sections here:
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((x - 4) + (x + 2)) *
2x – 2
x2 – 8
x2 – 2x – 8
x2 + 2x – 8
Answers
Answer:
the 3 one is 4+5=9876
Step-by-step explanation:
If y varies inversely as x and y = –9 when x = –11, find y when x = 66.
Answers
Answer:
[tex]y=\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]y=\frac{k}{x}[/tex]
[tex]-9=\frac{k}{-11}[/tex]
[tex]k=99[/tex]
[tex]y=\frac{99}{66}[/tex]
[tex]y=\frac{3}{2}[/tex]
Answer:
y=3 divided by 2
Step-by-step explanation:
CAN SOMEONE PLEASE HELP The Ecology Club was planning to take a field trip either to the seacoast or the mountains. The club president surveyed all of the members to determine the preferred trip. The results are displayed in the table below. Which statement is true about the results of the survey? *
20% of eighth-grade students preferred the seacoast
32% of seventh-grade students preferred the mountains
40% of students preferred the mountains
48% of students preferred the seacoast
Answers
Answer:
The true statement about the results of the survey is:
48% of students preferred the seacoast.Step-by-step explanation:
To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:
150 = 100 (100% of surveyed really, but is easier to understand in this form) 72 = XAnd operate:
X= (72 * 100) / 150 X = 48 (this means the 48%)How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.
If (x – 13) is one factor of x^2– 9x – 52, the other factor is
Answers
Somebody please help me please
Answers
Answer:
The correct sign is : <
Step-by-step explanation:
3.126 *10^2 is greater than 31260000*10^-9 by 312.56874
Answer: <
Step-by-step explanation:
10^-9 = .00000001
Multiply
31,260,000 * .00000001 = .3126 * 10^0 (1)
10^2 = 100
Multiply
3.126 * 100 = 312.6
.3126 * 10^0 < 3.126 * 10^2
Solve for n
n+1 = 4(n-8)
0 n = 1
On = 8
0 n = 11
0 n = 16
Answers
If f(x) = x2 - 2x, find:
f(-4) = [?]
Answers
How?
Replace the “X’s” with -4.
-4^2 - 2(-4)
Next, Evaluate the power.
-16 - 2 (-4)
Now, Calculate the rest.
-16 + 8
-8
The value of f(x) = x² - 2x at x=4 is 8.
What is function?The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation
Given:
f(x) = x² - 2x
Replace the x with -4.
f(-4) = x² - 2x
Next, Evaluate the power.
= (-4)² - 2(4)
Now, Calculate the rest.
= 16 + 8
= 8
Hence, the value of f(-4) is 8.
Learn more about function here:
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A long distance phone call between two cities costs $3.43 for 7 minutes. What is the rate in cents per minute?
Answers
Elanor's newborn baby weighs 3400g. Convert the weight to pounds. Round to the nearest tenth of a pound.
Answers
Answer:
7.5 lbs
Step-by-step explanation:
1 g = 0.00220462262185 lb
3400 g * .00220462262185 lbs/1 g = 7.495717 lbs
Rounding to the nearest tenth
7.5 lbs
Consider the equations of the two lines below:
Line A:
y=-3x - 7
Line B: y = x - 4
Are the lines Parallel, Perpendicular or Neither? Explain.
Answers
Answer:
Neither, they have a solution
Step-by-step explanation:
Use a sheet of graphing paper and graph the equation using the y-intercept and slope.
The function g is defined by g(x) =
x + 5
4x + 3
Find g (5a)
Answers
One more than six times that number is 37. Select the solution and graph that represents the original number. x = 4 Point 4 graphed on number line. x = 6 Point 6 graphed on number line. x = 7 Point 7 graphed on number line. x = 9 Point 9 graphed on number line.
Answers
Answer:
x = 6
Step-by-step explanation:
to solve this you can just subtract 1 from 37 which is 36 and divide it by 6 which is 6.
There are d boys in the class. This is two more than four times the number of
girls (X). How many girls are there in the class?
Answers
Answer:
c.
Step-by-step explanation:
That is, the number of boys (d) is (=) 2 more than (2 +) 4 times the number of girls (4X). So your answer is C
945/7 i dont know it is confused
Answers
Answer:
135
Step-by-step explanation:
We have been given the equation 945 ÷ 7. Seven goes into 9 one time. 9 minus 7 equals 2. Now drag down the four, 7 goes into 24, three times. 24 minus 21 equals 3. Drag down the five. 7 goes into 35 perfectly 5 times. Please mark me as brainliest. :)
Please help quick!!!!!!!!!!!!1
Answers
Answer:
The mean is 6,082,560,000AtlasStep-by-step explanation:
If you add up all the numbers then divide it by the amount of numbers you added then you will get the mean. In this case, I added all the numbers then I divided that by 3.A reference book of maps is called an Atlas.Hope I helped!
list the size of DEF in order from shortest to longest
Answers
Answer:
i would probably go with DE, EF, and DF
Step-by-step explanation:
i hope this helps :))
Answer:
DE, EF, and DF
Step-by-step explanation:
IT TO THE BEST OF MY BRAIN!!!! HAVE A NICE DAY!!!
What is the domain of the function y = RootIndex 3 StartRoot x EndRoot?
Negative infinity less-than x less-than infinity
0 less-than x less-than infinity
0 less-than-or-equal-to x less-than infinity
1 less-than-or-equal-to x less-than infinity
Answers
Answer:
A
All real number which would be -infinity < x < infinity
The domain of the function is the set of all real numbers given by; Negative infinity less-than x less-than infinity.
What is the domain of the function?According to the task content;
It follows that the function whose domain is to be defined is; y = ³√x.Since, the domain of a function includes all possible values of its input variables (x in this case). It follows that the domain of the function in discuss is; all real number values. This follows from the fact that all the cube root of all real numbers can be evaluated.
Read more on domain;
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find the sum -1/3+(-5/9)
Answers
Answer:
-8/9
Step-by-step explanation:
First of all you have to make -1/3 into a fraction that you can add with (-5/9).
-1/3 turns into -3/9.
-3/9 + (-5/9) is -8/9
Answer:
[tex] - \frac{8}{9} [/tex]
Step-by-step explanation:
We know that,
[tex]( + ) \times ( - ) = ( - )[/tex]
lets solve
[tex] - \frac{1}{3} + ( - \frac{5}{9} ) \\ - \frac{1}{3} - \frac{5}{9} \\ = \frac{ - 1 \times 3 - 5}{9} \\ = \frac{ - 8}{9} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the prime factorization: 49 i am stuck
Answers
Answer:
49 can be broken down into 7 * 7 so the prime factorization is simply 7².
Answer:
Bruhhainliest
Step-by-step explanation:
7 and 7
1 and 49
7 x 7 is the prime factorization
Tanisha is going bowling with her friends. It costs $3.00 to rent a pair of shoes and $4.50 per game. If Tanisha has $16.50, which equation can she use to determine how
many games, g, she can bowl?
1.3g + 4.50 = 16.50
2.4.50g + 3 = 16.50
3.3(9 + 4.50) = 16.50
4.3+4.50 + 16.50 = g
pls help
Answers
What is 42.8 on its standard form???
Answers
Answer:
[tex]4.28 \times 10^{1}[/tex]
Step-by-step explanation:
[tex]42.8 \times 10^0=42.8[/tex]
[tex]4.28 \times 10^{1}=42.8[/tex]
Answer:
42.8 x 10^0
Step-by-step explanation:
A. Standard Form
Ax + By = C.
A, B, C are integers (positive or negative whole numbers)
No fractions nor decimals in standard form.
Traditionally the "Ax" term is positive.