The magnitude of two vectors are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]
and the directions are
[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]
What is the magnitude of the vector?The magnitude of a vector can be defined as:
The length of a vector or the distance between the initial point and the endpoint of a vector.
Here given that,
[tex]A=2i+3j+4k\\B=i-2j+3k[/tex]
The magnitude of a vector is the length of the vector.
The magnitude of the vector a is denoted as ∥a∥.
For magnitude,
[tex]|A|=\sqrt{2^2+3^2+4^2}\\\\=\sqrt{4+9+16}\\\\=\sqrt{29\\\\}\\|B|\\=\sqrt{1^2-2^2+3^2}\\\\=\sqrt{1-4+9}\\\\=\sqrt{6}[/tex]
For Direction of sum,
[tex]\frac{A}{|A|}\\\\=\frac{1}{\sqrt29}[2i+3j+4k]\\\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]
For the vector B, the direction of the sum is
[tex]\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]
Hence, the magnitudes are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]
and the direction are
[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]
To know more about the magnitude;
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What is the equation of the line that passes through (–5, 0) and (4, 3)?
A. y = 1/3x + 5/3
B. y = –1/3x – 5
C. y = 3x + 15
D. y = –3x – 15
Answer:
bop bada bap boom pow!Djdnxnjxjdjfbcc
what is the lowest term of 64/96
Answer: the answer is 2/3
Step-by-step explanation: hope this helps
Answer:
[tex]0.6666666667[/tex] [tex]or[/tex] [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]\frac{64}{96}[/tex] = [tex]\frac{32}{48}[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex] = [tex]0.6666666667[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
lemme get some help plz
Answer:
6(8x-2)
48x- 12 (this is the answer)
Step-by-step explanation:
to do those, you use the distributive property, which is taking the number outside the parenthesis and multiplying it by everything inside of it
what does 58x9234=????
Answer:
535572
Step-by-step explanation:
Np just for a friend
Kiesha and her classmates wrote proportions for the reduction of a triangle.
A larger and smaller triangle have corresponding heights and bases.
Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
Answer: A, B, and D are correct!
Step-by-step explanation:
Hope this helps! :)
The three proportions that are set up correctly for the reduction of a triangle are:
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
Options 1, 2, and 3 are correct.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The three proportions that are set up correctly for the reduction of a triangle are:
1)
original height / original base = reduction height / reduction base
This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.
2)
original height / reduction height = original base / reduction base
This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.
3)
original height / reduction base = reduction height / original base
This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.
Thus,
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
Learn more about triangles here:
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2x29divide by 70006=x=?
Answer:
I think it is 71.222222 repeating
Step-by-step explanation:
Hope this helped have an amazing day!
what is the slope of the graph of y=12x-19
Answer:
The slope is 12
Step-by-step explanation:
Remember the slope formula y=mx+b
m= the slope
b= y-intercept
You go to Mellow Mushroom and your bill is $50.
You decide to leave a 20% tip.
What is your final cost?
what is the horizontal asymptote for this graph
Answer:
Y=0
Step-by-step explanation:
if there are 25 members in a club and 40% are girls how many girls are in the club
Answer:
there are 10 girls in the club
Step-by-step explanation:
25*40% is equal to 10
Solve x + 7 > 15 or 2x - 1 < 3.
Answer:16x?
Step-by-step explanation:
Which table does NOT show y as a function of x?
Answer:
C
Step-by-step explanation:
I don’t really know what to say haha, it’s easy
NEED HELP!!! ASAP last minute homework
The error is the sign of Inequality.
For Inequality, when the variable has negative coefficient, moving to another side would cause the Inequality symbol/sign to swap.
Therefore, from x>=-3 as it should be x<=-3
Write a simplified expression for the algebra tiles below. Remember, variables should be listed first, then constants.
Answer:
❤Sorry if im wrong but -4x❤
Step-by-step explanation:
✌If right plz mark branliest✌
Solve the equation by completing the square.
6x^2-12x-16=2
The regular price is $8.45 more than the sale price. The regular price
is $24.95. What is the sale price? _____
Answer:
33.04
Step-by-step explanation:
just add lolz :P
Answer:
$33.40
Step-by-step explanation:
1 1 1
24.95
+ 8.45
__________
33.40
5+5 is 10 so bring a 1 to the top and put a 0 for the bottom
1+9+4 is 14 so put the 4 down and put the 1 on top.
1+4+8 is 13 so put the 3 down and put the 1 on top.
1+2 is 3 so put the 3 down
then you get 33.40
The admission fee at a museum is $5 for children and $16 for adults. Yesterday, 800 people came to the museum and $8400 was collected. How many children and how many adults came to the museum?
Find all real numbers x that satisfy the equation (x-4)(x-8) = 12.
Answer:
10,2
Step-by-step explanation:
estimate 40,182 ÷ 2
Answer: 20,091 is the answer but if you round it becomes to 22,090
Answer:
20091
Step-by-step explanation:
NEED HELP ASAP PLEASE HELP!!!!
Answer:
d
Step-by-step explanation:
Solve each system to find the answer
Given:
The system of equations is
[tex]5g+4k=10[/tex]
[tex]-3g-5k=7[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]5g+4k=10[/tex] ...(i)
[tex]-3g-5k=7[/tex] ..(ii)
Multiply (i) by 5 and (ii) by 4.
[tex]25g+20k=50[/tex] ...(iii)
[tex]-12g-20k=28[/tex] ..(iv)
Adding (iii) and (iv), we get
[tex]25g-12g=50+28[/tex]
[tex]13g=78[/tex]
Divide both sides by 13.
[tex]g=\dfrac{78}{13}[/tex]
[tex]g=6[/tex]
Put g=6 in (i).
[tex]5(6)+4k=10[/tex]
[tex]30+4k=10[/tex]
[tex]4k=10-30[/tex]
[tex]4k=-20[/tex]
Divide both sides by 4.
[tex]k=-5[/tex]
So, the solution of the system of equation is (6,-5).
Therefore, the correct option is A.
How do I make 2x+y+ 3X - 7 y=mx+b
Step-by-step explanation:
[tex]2x + y + 3x - 7y \\ = (2x + 3x) + (y - 7y) \\ = (5x) + ( - 6y) \\ = 5x - 6y \\ = mx + b \\ where \: \: m = 5 \\ where \: \: b = - 6y[/tex]
What is the value of f(-1)?
O f(-1) = -3
Of(-1) = -1
O f(- 1) = 0
Of(-1) = 6
Answer: C: f(-1)=0
Step-by-step explanation:
To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.
UUUUUUUUUUUUUUUUUUUUUU
Answer:
B. -3 > -4
Step-by-step explanation:
have a nice day!!
Determine whether the lines are parallel, perpendicular, or neither. 5x + 2y = 14 and y = −5x + 9
Answer: Neither
Step-by-step explanation:
5x + 2y = 14
2y = -5x + 14
y = -5/2 x + 7; slope m = -5/2
y = –5x + 9 ; slope m = -5.
Parallel lines slopes are equal and perpendicular slopes are opposite and reciprocal.
So both lines are neither parallel nor perpendicular
Answer
C. Neither.
Answer: Neither
Step-by-step explanation:
5x + 2y = 14
2y = -5x + 14
y = -5/2 x + 7; slope m = -5/2
y = –5x + 9 ; slope m = -5.
Parallel lines slopes are equal and perpendicular slopes are opposite and reciprocal.
So both lines are neither parallel nor perpendicular
Answer
C. Neither.
The speed limit on a highway is 80 miles per hour. How many miles per minute is this?
Answer:
0.75
Step-by-step explanation:
Cuanto es 17 entre un medio
Answer: 8.5
Step-by-step explanation:
espanol- deberia ser 8.5
english- it should be 8.5 good luck!
4x+7y=83 and 5+6y=90 solved by substion
For a line with the equation y=2/3x−4, the slope is:
A 2
B 2/3 thirds
C 3
D -4
Answer:
The answer is B. 2/3 because y=mx+b mx us always the slope and b is the y intercept
help me please I suck at math its my weakness
Answer:
b
Step-by-step explanation: