Let v= 3i − 2j + k (or equivalently ). Find non zero vectors w and u such that each of v, w and u is orthogonal (another word for perpendicular) to the other two Make sure you demonstrate that they are each orthogonal to one another after you find them.

Answers

Answer 1

Answer:

w = 1 i + 1 j - 1 k

u = 1 i + 4 j + 5 k

Step-by-step explanation:

Two possible vectors are:

w = 1 i + 1 j - 1 k

and

u = 1 i + 4 j + 5 k

since they verify the rules for scalar product equal zero among them:

v * w = 3 - 2 - 1 = 0

v * u = 3 - 8 + 5 = 0

u * w = 1 + 4 - 5 = 0


Related Questions

Sarah writes 4 songs. Ronnie writes 6 more songs than Sarah Paul writes 2 times as many songs as Sarah

Answers

Answer:

Sarah wrote 4 songs

Ronnie wrote 10 songs

Paul wrote 8 songs

Step-by-step explanation:

Sarah 4
Roonie 10
Paul 8

Is the expression 6+3=9 an equation? Explain.

Answers

Answer:

No, 6+3=9 is not an equation.

Step-by-step explanation:

The reason as to why this is not an equation is because an equation is a statement that asserts the equality of two expressions, which are connected by the equal sign. And 6+3=9 does not in fact connect two separate expressions.

Evaluate and reduce:
3
4
35 - -
F
Enter the number that belongs in the
green box.

Answers

Answer:

28

Step-by-step explanation:

35/5 ÷ -3/4

=7÷ (-3/4)

=7× (4/-3)

=(7×4)/-3

=- 28/3

the minus is already placed in the question, that makes the answer 28 without the minus

Change the equation from standard form into vertex form by completing the square.

y equals x squared plus 14 x plus 53

Answers

Hi hi I hope you know that I was wondering if you wanna was a way you can get me to

Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Emily needs 22 feet of the wire. Andy needs 13 yards of the wire. How much will each of them spend for​ wire?

Answers

Answer:

Step-by-step explanation:

Actually its

Andy spends $ 13.20

Emily will spend 23.40

HOPE IT HELPS!!!!!!!!!!

What is 120 divided by 55

Answers

Answer:

2.2

..................

120/55

simplify the expression and explain each step.
1. 4(3x + 2) -2
2. factor the expression completely 20b -16

please explain how to solve! will mark brainliest​

Answers

Answer:

is the 3x a expression ill comment the awnser if is

Step-by-step explanation:

I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!​

Answers

Answer:answer is b

Step-by-step explanation: Just makes since

true or false 2*10=2*10^3​

Answers

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

2*10 = 20

So your equation would look like this:

20 = 2*10^3

10 to the third power is 1000

1000*2 = 2000

2000 is not equal to 20

Hope I helped :)

Please consider Brainliest :)

I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!​

Answers

The correct answer will be B

does anyone need to talk/rant about something because im here for you

Answers

Answer: sure

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

ok so I just got an email from my school saying that you need to do half the semester in ONE WEEK and I'm like, why you didn't need to do this. And also my parents are expecting me to do it ALL IN 2 DAYS AND GET AN A honestly I am very sad I am actually doing an assignment right now lol.

solve -3x^2=150
please help me ​

Answers

Answer:

x=5i√2,−5i√2

Tap to view steps...

Step-by-step explanation:

math, way, . , com

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Write and inequality for the graph.

Answers

Answer:

Step-by-step explanation:

60 POINTS BRAINLIES
PLEASE WORKOUT QUESTIONS a b & c
PHOTO OF GRAPH ATTACHED BELOW

a) Calculate the median number of medals for each medal type, stating the formula you would use for determining the median for the gold medals.


b) Calculate the mean number of medals for each of the 3 medal types, stating the formula you would use for determining the mean for the bronze medals.


c) Calculate the standard deviation of the total medals awarded to each country
(column F) using the formula below.
Show all the steps ( show your work ).

USE the STDEV.P function to cross-check your final answer.

Answers

Answer:

see below

Step-by-step explanation:

a)  median : re-arranged the numbers in order. i.e. min to max

gold:          147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022

                 212  + 227    =  219.50

                        2

silver:       147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794

                178 + 241     =  209.50

                       2

bronze:    151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704

                193  +  260  =  226.50

                        2

b)  mean : sum of all numbers divide by n, where n=10  

gold:        =   (147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022 ) / 10

               =  311.40

silver:      =   (147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794 ) / 10

              =  282.30

bronze:   =  (151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704 ) / 10

               =  280.60

c) standard deviation on population (STDEV.P)

Australia          = 16.44

china               = 33.03

france              = 19.74

germany          = 30.21

great britain    = 13.89

hungary           = 12.04

italy                  = 11.44

soviet union    = 48.46

sweden           = 13.47

united states   = 133.84

If angle 1= 36 degrees and angle 4= 115 degrees what is the measurement of angle 2 ?

Answers

79 degrees 1=36 2= 79 3= 65 4= 115

Which series of transformations would result in a figure that is congruent to the triangle ABC?
rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
rotation of 180' clockwise about the origin and then dilation with a scale factor of 2, centered at the origin
reflection across the line y ox and then dilation with a scale factor of -3, centered at the origin
translation 3 units to right and then dilation with a scale factor of 3, centered at the origin

Answers

Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

Step-by-step explanation:

Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.

Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.

So we can already discard all the options with dilations.

Now, remember how the dilation works.

If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.

Notice that if the scale factor is equal to 1, then there is no change.

In the options, we have one where the scale factor is -1.

The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.

Then the only option that not dilates the triangle is:

Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

So this is the only transformation that results in a figure congruent to the triangle ABC

1 Later that afternoon, Robert spent more time playing the video game.
He earned 88 points. How many points did he tell his friend that
he earned?

Answers

This doesn’t seem like the full question...
Do you have a picture so I can answer it lol

please help!!
find h(8)-f(-7)

Answers

Close all yours tabs

Which is the equation of the line in point-slope form with a slope m=6 and a point (-1,9)​

Answers

Answer:

y-9=6(x+1)

Step-by-step explanation:

Let f(x) = 5^x Find f(-3).

what did you guys get?

Answers

Answer:

I got 1/125

Step-by-step explanation:

Lollollollollollollollollollollollollollollollollollollollollollollollollollollollollol pt. 3

Answers

lolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllol

here's a picture of a seal

i hope you like it

PLEASE HELP,, thank you so much if you do
i’m really confused on how to answer this question could anyone who understands this please help me
i’ll give brainliest

Answers

Answer:

(x)^2+(5)^2=(9)^2

Step-by-step explanation:

(a)^2+(b)^2=(c)^2

(x)^2+(5)^2=(9)^2

x^2+25=81

-25 -25

x^2=56

x=28

p.s. this ^2 means squared

Find the coordinates of the midpoint of LB if L(8, 5) and B(-6, 2)

Answers

Answer:

The coordinates of the midpoint of LB are (1, 3.5)

Step-by-step explanation:

The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

Let us use this rule to solve the question

∵ M is the midpoint of segment LB

∵ The coordinates of point L are (8, 5)

x1 = 8 and y1 = 5

∵ The coordinates of point B are (-6, 2)

x2 = -6 and y2 = 2

→ Substitute these values in the rule of the mid point above

∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]

→ Remember (+)(-) = (-)

∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]

∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]

M = (1, 3.5)

The coordinates of the midpoint of LB are (1, 3.5)

PLEASE HELP ASAP

can you help me please​

Answers

so x is equal to 40 so the length of M and N is 140 and no is 70 with the total length being 210 hope I helped could I get a brainliest!!

Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?

Answers

It is the length of 5 and 4

f(x)=x+3
g(x)=2x
its combining funtions please help

Answers

Addition : 3x + 3
Subtraction : -x+3
Multiplication : 2x^2+6x
Division:x+3/2x ; x is not 0

Let me know if I got wrong.

i’ll literally give you 45 points but please answer it correctly i have a D in math class

Answers

I wrote out the answers on top of the sheet. Hope this helped!

find all integers x satisfying each of the following congruences mod n. if no such x exists, explain why not

Answers

Answer:

please find the solution:

Step-by-step explanation:

please find the correct question:

Given value:  

[tex]\to 4x \equiv 2(mod\ n) \ \ \ \ \ \ \ \ \ \ \ \ _{where} \ \ n=6\\\\\to 4x \equiv 2 (mod 6)[/tex]

[tex]\to 4x-2[/tex] should be divisible by 6  we are also given that [tex]0 \leq x < n[/tex]  and start with x = 0  

[tex]\to 4x-2[/tex] =-2 which is not divisible by 6  

x= 1  

[tex]\to 4x-2[/tex] = 2 not divisilble by 6  

x= 2

[tex]\to 4x-2[/tex] = 6 which is divisible by 6  

x=3  

[tex]\to 4x-2[/tex] = 10 not divisible by 6

x=4  

[tex]\to 4x-2[/tex]  = 14 not divisible by 6  

x=5

[tex]\to 4x-2[/tex]  = 18 which is divisible by 6  

so such x are x = 2 and x = 5

NEED HELP ASAP!! RESPOND AS QUICK AS POSSIBLE!!!
Tell me what the answer is for these 3 questions

Answers

Answer:

First one: y-intercept = 1

ordered pair: (0,1)

Second one: y-intercept = -1

ordered pair: (0,-1)

Third one: y-intercept = 4

ordered pair: (0,4)

Answer:

1. y=1, (0,1)

2. y=-1, (0,-1)

3. y=4, (0,4)

Step-by-step explanation:

The y-intercept is the line crossing the y-axis

(0, number here that cross y-axis)

1. y=1, (0,1)

2. y=-1, (0,-1)

3. y=4, (0,4)

These are the weekly wages paid to staff in a hotel.

£245
£140
£525
£163
£195
£174
£140

What is the range of these wages?

What is the mean wage?

Answers

Answer:

range is 525-140=385

The mean of a set of numbers is the sum divided by the number of terms. Mean= 226

Step-by-step explanation:

hope that helper, have a good one

Range = 525 - 140 = 385

Mean =

[tex](140 + 140 + 163 + 174 + 195 + 254 + 525) \div 7 = 226[/tex]

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