Answers
Step-by-step explanation:
All of these vectors are in DE Moviere Form, so let put them in Vector notation
To this this, multiply the modulus by the exact values of trig functions,
So using this, Vector u
[tex]u= 3j + 3 \sqrt{3} i[/tex]
Vector V
[tex]v = 2 \sqrt{2} j - 2 \sqrt{2} i[/tex]
Vector W
[tex]w = - 6 \sqrt{3}j + 6i[/tex]
So know we can compete the parts.
For Part A:
We first multiply the vector U by -7 then multiply that by v.
[tex] - 7u = - 21j - 21 \sqrt{3} j[/tex]
Know we do cross product
[tex] - 7u(v) = ( - 21j - 21 \sqrt{3} i)(2 \sqrt{2} j \: + 2 \sqrt{2} i[/tex]
First, multiply the j componets.
Then, do the I componets and then add the product together.
[tex] - 42 \sqrt{2} j - 42 \sqrt{6} i[/tex]
So the answer to part A is the vector above.
Part B:
Let first find the dot product of u and w.
First, the cross product of u and w is
[tex] - 18 \sqrt{3} j + 18\sqrt{3} i[/tex]
The magnitudes of each respective vector is
6 and -12. So if we use dot product formula
[tex] \cos( \alpha ) = \frac{xy}{ |x| |y| } [/tex]
So we get
[tex] \cos( \alpha ) = \frac{ - 18 \sqrt{3} + 18 \sqrt{3} }{ - 72} [/tex]
[tex] \cos(a) = \frac{0}{ - 12} [/tex]
[tex] \cos(a) = 0[/tex]
[tex]a = \frac{\pi}{2} [/tex]
Since the angle is pi/2, the vectors are orthogonal.
Answer:
correct
Step-by-step explanation:
Related Questions
Maple Street is 4 miles long. There is a house every 1/4 of a mile. How many houses are there on Maple Street?
There are 24 houses on Maple Street.
There are 12 houses on Maple Street.
There are 16 houses on Maple Street.
There are 20 houses on Maple Street.
Answers
Answer: There are 16 houses
Step-by-step explanation: Why? Because of the fact that every house is 1/4 house and you can multiply that by every time 1/4x4 then 1/4x4 1/4x4 and 1/4x4 and you have 16 houses.
HELP NEEEEDED ASAP!!!!!!!! Which graph represents this function?
f(x)=2x−1−−−−√
Answers
y=-3(x + 5)^2 - 4
Convert the equation from vertex formi to standard form.
Answers
To the nearest millimeter, a cell phone is 86 mm long and 44 mm wide. What is the ratio of the width to the length?
Answers
Answer:
1
Step-by-step explanation:
44 ÷ 86
Simplify 44/86
22/43
Find the closest integer to 22/43
Answer:
44 mm : 86 mm
Step-by-step explanation:
A cell phone is 86 mm long and 44 mm wide
Long = length
Wide = width
Can someone help me out with this math problem? Thank you
What is AC?
Answers
Answer:
The Answer is B! 3√5 I hope this helped u
HELP ASAP PLEASE NEED FOR RIGHT NOW!!!
Answers
Answer:
-24/5
Step-by-step explanation:
I did the math...your welcome:)
kinda easy math problems
Answers
1. {1, 2, 3, 4, 5, 6}
2. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
3. {B1, B2, B3, R1, R2, R3, R4, R5, R6, R7, R8, G1, G2, G3, G4, Y1, Y2, Y3, Y4, Y5, Y6, Y7}
B for blue, R for red, G for green, Y for yellow.
4. {TT, TH, HT, HH}
T for tails and H for heads
Explanation:
sample space is all possible outcomes
1. ((--1, 2, 3, 4, 5, 6--))
2. ((--1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15--))
3. ((--B1, B2, B3, R1, R2, R3, R4, R5, R6, R7, R8, G1, G2, G3, G4, Y1, Y2, Y3, Y4, Y5, Y6, Y7--))
B for blue, R for red, G for green, Y for yellow.
4. ((--Tail tail, Tail Heads, heads tails, heads heads--))
Each of 5 gift bags contains x pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 20 pencils.
Write an equation for the story. (use "X")
what is the reason for multiplication in the story?
Answers
Explanation:
Each of the five bags contain x pencils, where x is a placeholder for a positive whole number.
This means Tyler starts off with 5x pencils
He then adds 3 pencils per bag, so 3*5 = 15 extra pencils, to get the expression 5x+15. We're told the new grand total is 20 pencils.
Therefore, the equation for this story problem is 5x+15 = 20
The reason for the multiplication is because we have the same number of pencils per bag. So we're adding multiple groups together, or using multiplication to do a shortcut.
eg: instead of 5+5+5 = 15 we can do 5*3 = 15
Brainliest pls helppp
Find the equation of a line passing through point A (4,6) and B (-2, 8)
Answers
Have a nice day :)
--
Which statement is true about these functions?
OA Functions fand g are not inverses because f(g(x)) = 9(f(x))
OB. Functions fand gare not inverses because f(g(x)) = g(f(x)).
Ос. Functions fand g are inverses because f(g(1) # 9(()).
OD. Functions fand g are inverses because f(g(x) = g(1)
Answers
Answer:
c
Step-by-step explanation:
it just is
The ratio of boys in a class to girls is 3:2. If there are a total of 20 students in the class, how many students are boys?
Answers
Answer:
13.333333...
Step-by-step explanation:
divide 20 by 3/2
Variables y and x have a proportional relationship, where y = 18 when x = 2.
What is the value of x when y = 36?
Enter your answer in the box.
X=
Answers
Answer:
x = 324Step-by-step explanation:
y=Kxmake k the subject of formula=> Kx = y=> k = y/xadd the value of y = 18 when x = 2.=> k = 18/2divide 18 by 2=> k = 9What is the value of x when y = 36?
=> x = Kxsubstitute k equals to 9 and from the question y equals to 36 into this equation=> x = 9(36)multiply 36 by 9=> x = 324QUESTION ON PIC THANK YOU !
Answers
Answer:
There are (14 - 8) daisies = 6 daisies
roses / daises = 8 / 6 = 4 / 3
flowers / daises = 14 / 6 = 7 / 3
The quotient of number and 7 is 6
Answers
Answer:
42
Step-by-step explanation:
Let's say the number=X
x/7=6
7*6=42
and 42/7=6
Pls answer question b tyyy also pls simplify if possible
Answers
Answer:
9/5 + 9/4 = 81/20
= 4 1/20
= 4.05
Step-by-step explanation:
81/20 is the smallest it gets as a fraction I believe
and A. should be 5/4 if i'm not mistaken
Answer:
a) 1 1/4 or b) 4 1/20
Step-by-step explanation:
a) This one is the easier of the two. 7/8+3/8= 10/8 ---» 1 2/8 and 2/8 is 1/4. So 1 1/4.
b) This one is a bit more tricky. You need to find a common denominator between the two, in this case we can use 20.
9/5 ---» 36/20 and 9/4 ----» 45/20.
Do some adding and you get 81/20 ---» 4 1/20.
Hope this helped!
What is the solution To the system of equations below? Need answer ASAP please
Answers
Answer:
y=2x-5
y=-x+7
answer is (4,3)
Step-by-step explanation:
brainliest pls
If an exponential model has a 9% decay rate,
what multiplier would be used in the function
model?
0.9 1.09
1.9 0.91
Answers
=====================================================
Explanation:
If you lose 9% of a substance, then you keep the remaining 91% because 100% - 9% = 91%. Or you can think of it as 91% + 9% = 100%
Then we convert 91% to decimal form to get 0.91
-----------
Or you can do the steps like this:
9% = 0.09
1 - 0.09 = 0.91
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 4,11,18. Find the 50th term.
Answers
Answer:
347
Step-by-step explanation:
This is Arithmetic Sequence where its common difference= 11-4 = 18-11 = 7
The Geometric Sequence General Formula = [tex]a_{n} =a_{1}+ d(n-1)[/tex]
where a1 is the 1st Term and d is the common difference
[tex]a_{50} =4+7*(50-1)=347[/tex]
Help please I’m having trouble with this problem
Answers
Answer: L= 90-3 i hope this helps u :)
Answer:
[tex]\sf length = 8b+2[/tex]
Explanation:
area of rectangle = length * widthGiven:
Area: 64b² - 4Width: 64b² - 4using the formula:
[tex]\hookrightarrow \sf 64b^2 - 4 = length * (8b - 2)[/tex]
[tex]\hookrightarrow \sf \dfrac{64b^2 - 4 }{(8b - 2)} = length[/tex]
[tex]\hookrightarrow \sf length = 8b+2[/tex]
help a girl out
it’s due tonight i’m dead
Answers
To find the equation of line take any two points on graph,
Point A = (0,3) = (X1,Y1)
Point B = (3,0) = (X2,Y2)
Y intercept is = 3,
Now find the slope of line using two point formula,
[tex]Slope = \frac{Y2-Y1}{X2-X1} \\ \
Slope = \frac{3-0}{0-3} = -1[/tex]
Equation of the line in standard form is,
[tex]Y - Y1 = m(X - X1)[/tex]
where m is the slope of line!
Now substituting Y1, m, X in above equation!
[tex]Y - Y1 = m(X - X1) \\ Y - 3 \: = - 1(X - \: 0) \\ Y - 3 = - X \\
X + Y = 3 \\
Y = 3 - X[/tex]
The equation of line in Slope intercept form,
[tex]\fbox{Y = - X + 3}[/tex]
Thanks for joining brainly community!
if 2/3x - 1=4, then x=?
Answers
Answer:
The answer is x=15/2
Step-by-step explanation:
Choose the correct linear equation given the slope and a point P.
m = 5/6, P = (-6,-2)
Answers
Answer:
3rd option is correct
.........................................
Answer:
option c
Step-by-step explanation:
Linear equation in slope intercept form: y = mx +b
m is slope and b is y-intercept.
m = 5/6
[tex]y=\dfrac{5}{6}x+b\\[/tex]
The point P(-6 ,-2) passes through the line. So, plugin s and y values in the above equation.
[tex]-2=\dfrac{5}{6}*(-6)+b\\\\\\-2= -5 + b\\\\-2 + 5 = b\\[/tex]
b = 3
Equation of the line:
[tex]y=\dfrac{5}{6}x+3[/tex]
1 1 A recipe calls for cup of ingredient A for every 15 cups of ingredient B. You use 3 cups of ingredient A How many cups of ingredient B do you need? You need cups of ingredient B.
Answers
Answer:
45
Step-by-step explanation
Its actually quite simple all you have to do is multiply 15 by 3 and then you will get 45.
If a triangle has angles of 35° and 75°, and an included side length of 1 inch: What is the measure of the missing angle? How many triangles are possible?
Answers
Answer:
70
Step-by-step explanation:
angles in a triangle add up to 180 so both of the other angles added equal to 110. 180-110=70
Benjamin bought two pounds of strawberries for $12.80. What is the price, in dollars per ounce of strawberries?
Answers
Answer:
0.50 cent per ounces
Step-by-step explanation:
0.50 cent per ounces
PLEASE HELP i WILL MaRK BRAINLY plsssssss
A "light" popcom has 120 Calories per serving. This is 25% fewer Calories than a serving of regular popcorn. How many
Calories does each serving of regular popcom have?
175
b. 250
480
d. 160
C.
a
Answers
We're given:
The popcorn is 120 calories per serving120 calories is 25% fewer calories than original popcornWe must find the calorie count per serving of the original popcornDetermine VariablesLet x equal the calorie count per serving of the original popcorn.
Create an EquationThe light popcorn has a calorie count of 120, which is 25% fewer calories than regular popcorn. This means that 75% of the calorie count of regular popcorn is equal to that of the light popcorn:
[tex]x*0.75=120[/tex]
Solve the Equation[tex]x*0.75=120[/tex]
⇒ Divide both sides by 0.75:
[tex]\dfrac{x*0.75}{0.75}=\dfrac{120}{0.75}\\\\x=160[/tex]
AnswerTherefore, each serving of regular popcorn has 160 calories.
is the price proportional to the number of roses? how do you know? In th table below it shows the price, in dolloars, for thenumber of roses indicated
Answers
What is the total weight of 23 baseballs that weigh 5.25 ounces each?
Answers
Answer:
120.75 ounces
Step-by-step explanation:
It's just a multiplication you will multiply 23 ×5.25 will get you your answer
Mr. Ford will select 5 of the 120 people who tried out for a theatrical production. He will choose another 5 people to assist with the show.
How many people will he choose altogether?
Answers
Answer:
10
Step-by-step explanation:
Mr. Ford selects 5 people who tried out.
He then chooses 5 more people to assist with the show.
Together he has 5 + 5 = 10 people altogether.
Which equation describes the graph?
Answers
Answer:
y=(-3/5)x + 5
Step-by-step explanation:
Looking at the graph, we can see two clear points; (0,5) and (5, 2). We know that the y-intercept is (0,5) so the b value of the standard form of a line, y=mx+b, is 5. Since we know two points, we can figure out the slope. So, the slope is (5-2)/(0-5) = 3/-5. Therefore the equation of this line is y=(-3/5)x+5. We can check this answer by plugging in points.