20 point question

Suppose u and v are orthogonal vectors with ||u|| =5. ||u||= 1/2 ||v||, find ||u+v||.​

Answers

Answer 1

Answer:

[tex]5\sqrt{5}[/tex]

Step-by-step explanation:

See attached image.

The vectors u and v are orthogonal, so the angle between them measures [tex]90^\circ[/tex]. [tex]||u||=5[/tex] and [tex]||u||=\frac{1}{2}||v|| \Rightarrow ||v||=10[/tex]

The vector sum is the diagonal shown in the image and its length/magnitude/norm can be found by using the Pythagorean Theorem.

[tex]||u+v||=\sqrt{5^2+10^2}=\sqrt{125}=5\sqrt{5}[/tex]

20 Point Question Suppose U And V Are Orthogonal Vectors With ||u|| =5. ||u||= 1/2 ||v||, Find ||u+v||.
Answer 2

Answer:

Step-by-step explanation:

[tex]|| \overrightarrow {u}||=5\\\\|| \overrightarrow {u}||=\dfrac{|| \overrightarrow {v}||}{2} \Longrightarrow\ || \overrightarrow {v}||=2*|| \overrightarrow {v}|=10\\\\|| \overrightarrow {u}+\overrightarrow {v}||^2=|| \overrightarrow {u}||^2+|| \overrightarrow {v}||^2+0\ (since\ u\ and\ v\ are\ orthogonal\ vectors \ )\\\\=5^2+10^2=125\\\\|| \overrightarrow {u}+\overrightarrow {v}||=5*\sqrt{5} \\[/tex]


Related Questions

SOMEONE HELP ME PLEASE

Answers

Answer: D,E,F

Step-by-step explanation:

collinear means points on the same line

Determine the name of the polygon formed by the points below.

A(5,-1),B(0,5),C(4,5),D(-2,-1)


No spams.Answer should be well explained .Attach a diagram or graph of it .​

Answers

Answer:

Given

Points A(5,-1),B(0,5),C(4,5),D(-2,-1)

Plot the points and connect to get a trapezoid (attached).

Just consider this is going to be ACBD according to coordinates.

Step-by-step explanation:

Given points are A(5,-1), B(0,5), C(4,5) and D(-2,-1)

When the given points are plotted on a graph paper and are connected. Then the formed polygon is trapezoid.

What is one of the best ways to stop procrastinating and study More

Answers

Answer:

use the two minute rule. you tell yourself you will study for two minutes or ten minutes and then if you're in a flow you keep going. hope this helps :)

the diagrams below show the numbers in base two which are arranged in few rows

Answers

let x is equalbut if you quality I and Y is equal to 80 ft decide that young (a minus b is equal to young) a greatest loss - 1 (a intersection b) close

What is the degree of 5xpower2+6xpower2+7ypower2​

Answers

Answer:

7

Step-by-step explanation:

Explanation:

6x5+5x4−3x2+x7

The difference of -13 and 8 multiplied by the square of 4

Answers

The difference of -13 and 8 multiplied by the square of 4 is :

Hope it helps

I need help asap plz.​

Answers

Answer:

» [tex]❎ \: f( \frac{ - 1}{2} ) = - 2 [/tex]

when x is -½, f(x) is 5/4.

» [tex]{ \boxed{✔}} \: f(0) = \frac{3}{2} [/tex]

check second row.

» [tex] ❎ \: f(1) = - 1[/tex]

f(1) is 2

» [tex]❎ \: \: f(2) = 1[/tex]

f(2) is 5/2

» [tex]{ \boxed{✔}} \: f(4) = \frac{7}{2} [/tex]

Answer:

B. f(0) = 3/2 and E f(4) = 7/2

Step-by-step explanation:

Given function:

f(x) = 1/2x + 3/2

Find the following:

f(-1/2) = 1/2(-1/2) + 3/2 = -1/4 + 6/4 = 5/4, incorrectf(0) = 3/2, given in the table, correctf(1) = 2, given in the table, incorrectf(2) = 5/2, given in the table, incorrectf(4) = 1/2(4) + 3/2 = 2 + 3/2 = 7/2, correct

Correct choices:

f(0) = 3/2f(4) = 7/2

Help
When i
is written as a decimal, how many digits are in the smallest sequence of repeating
digits?
OA) 3
B) 2
OC) 1
D) 0

Answers

I think it might be C
It’s B because if it was C it wouldn’t be repeating and A isn’t the smallest of the repeating decimals

6 . The scale of a map is 1: 250 000. (a) The actual distance between two cities is 80 km. Calculate this distance on the map. Give your answer in centimeters. (b) On the map a large forest has an area of 6 cm?. Calculate the actual area of the forest. Give your answer in Square kilometres. ​

Answers

Answer:

The scale of a map is 1:250000.The actual distance between two cities is 80 km. Calculate this distance on the map. Give your answer in centimetre

Step-by-step explanation:

1 m = 100 cm

1 km = 1000 m = 100 000 cm

1:250 000 mean that 1 cm on the map represents an actual distance of 250 000 cm = 2.5 km

1:250 000 = 2.5 km / cm

80 km / 2.5 km / cm = 32 cm

OR

80 km = 8 000 000 cm

8 000 000 cm ∙ 1 / 250 000 = 8 000 000 cm / 250 000 = 32 cm

Trang can run up a hill at 3 m/s and down the hill at 7 m/s. It takes her 60 seconds in total to
run up and then down the hill. What distance does she cover going from the bottom to the
top of the hill?

Please step by step explanation:)

Answers

Answer:

d=126 (m)

Step-by-step explanation:

Let say:

d the distance from the bottom to the top

t1 the time used for running up

t2 the time for running down

[tex]\left\{\begin{array}{ccc}d&=&3*t_1\\d&=&7*t_2\\t_1+t_2&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}d&=&3*t_1\\t_2&=&\dfrac{3}{7} t_1\\t_1+\dfrac{3}{7} t_1&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}t_1&=&\dfrac{60*7}{10}=42 \\\\t_2&=&\dfrac{3*42}{7}=18\\\\d&=&3*42=126\\\end{array}\right.\\[/tex]

Kevin buys eggs and potatoes at the store.
He pays a total of $25.98.
He pays a total of $6.46 for the eggs.
He buys 4 bags of potatoes that each cost the same amount.

How much does each bag of potatoes cost?

Answers

i think $4.88. hope this helps! have a great day! ;)

Please help me I will mark brainliest :)

Answers

Answer:

X should equal 12.

Step-by-step explanation:

I say this because we know TED= 30° bc 50°-20° = 30

then u have to think about what × 2 + 6 equals 30

sure enough 12 × 2 = 24 and 24 + 6 = 30

that's why I say X equals 12

1. Find the distance between the pair of points: (-8, -2) and (-4,5)

Answers

Hi, I'm happy to help!

To solve, this, we need to find the distance in x coordinates, y coordinates, then use the Pythagorean Theorem, let's solve!

First, we have to find the distance in x coordinate values. The first coordinate is -8, and the second is -4, which means there is an x distance of 4.

Next, we need to find the distance in y coordinate values. The first coordinate is -2, and the second is 5, meaning there is a y distance of 7.

From here, we use the Pythagorean Theorem. This states that a²+b²=c².

This applies to right triangles, which is what we have. The x distance is a, the y distance is b, and the overall distance is c. We need to find c to answer the question. Let's plug in our values:

4²+7²=c²

16+49=c²

65=c²

To find c, we need to find the square root of 65.

√65

8.0622577...

Rounding to the nearest tenth is 8.1.

The distance between the two points is about 8.1.

I hope this was helpful, keep learning! :D

a=23 an= 5 n=10 find d

Answers

Answer:

d=-2

Step-by-step explanation:

a10=5, a10=a+(10-1)d

5=23+9d, d=-2

Answer:

d is -2

Step-by-step explanation:

From arithmetic progression:

[tex]{ \bf{a_{n} = a + (n - 1)d }}[/tex]

substitute:

[tex]{ \sf{5 = 23 + (10 - 1)d}} \\ { \sf{5 - 23 = 9d}} \\ { \sf{9d = - 18}} \\ { \sf{d = \frac{ - 18}{9} }} \\ \\ { \sf{d = - 2}}[/tex]

Fill in the blank to complete this trig
ratio.
y
sin a =
[?]
a
Х
N
A
00
С
Х
У
N

Answers

Answer:

Z/X

Step-by-step explanation:

cause sin is p/h and p=Z and h=X

[tex] \displaystyle \large \tt{ \sin a = \frac{opposite}{hypotenuse} }[/tex]

First, we have to focus on ∠a, at the angle a or ∠a, the opposite is z because ∠a is the opposite side of z.

The hypotenuse side is always x, even if we change from ∠a to ∠b (b = 90°-a)

So what we have now are:

opposite = z (Refer to the bold text)hypotenuse = x (hypotenuse is always the side that is opposed to a right angle.)

Substitute the letter in the ratio:

[tex] \displaystyle \large \boxed{ \sin a = \frac{z}{x} }[/tex]

PLS HELP I WILL MARK THE CORRECT ANSWER BRAINLIEST !!!!!!! PLS HELP IMAGE INCLUDED!!!!!!

Answers

The answer should be C,I finished my quiz last week

Divide. Write your answer as a fraction in simplest form. − 7 1/0÷2/5=

Answers

Answer:

-71/4

Step-by-step explanation:

Evaluate
15
r

1
r
15

−1start fraction, 15, divided by, r, end fraction, minus, 1 when
r
=
5
r=5r, equals, 5.

Answers

Answer:

do you have a photo that makes it easier?

If your gross monthly income will be $3,750, you need to determine the net pay for your monthly budget.

Your monthly net pay is

Answers

Answer:

The correct answer to the given question is $2,989.12. The monthly net pay is $2,989.12, when the gross monthly income is $3,750.

                                         Thank You

Answer: correct answer is 2,989.12

Step-by-step explanation:

use the diagram on the right. How many planes contain both the line and the point

a. FG and point P


b. EP and point G

Answers

Part (a)

Answer: 0

-------------------

Explanation:

Point P is part of 3 planes or faces of this triangular prism:

plane PEF (the front slanted plane)plane PEH (the left triangular face)plane PHG (the back rectangular wall)

Notice how each three letter sequence involves "P", though this isn't technically always necessary. I did so to emphasize how point P is involved with these planes.

Each of the three planes mentioned do not involve line FG

Plane PEF only deals with point FPlane PEH doesn't have any of F or G involvedplane PHG only involves G

So there are no planes that contain line FG and point P.

==================================================

Part (b)

Answer: 0

-------------------

Explanation:

It's the same idea as part (a) earlier. The planes involving point G are

plane GQF  (triangular face on the right)plane GFE (bottom rectangular floor)plane GHP (back rectangular wall)

None of these planes have line EP going through them.

As an alternative, we could reverse things and focus on all of the planes connected to line EP. Those 2 planes are

plane PEH (triangular face on the left)plane PEF (front slanted rectangular face)

None of these planes have point G located in them.

can anyone solve this question​

Answers

Answer:

12 in Mathematics and 16 in Science

Step-by-step explanation:

12+16=28

12+3=15 and 16-4=12

15*12=180

Answer:

He got 12 marks in mathematics and 16 in science.  

Step-by-step explanation:

M + S = 28, (M + 3)(S - 4) = 180.

(M + 3)(S - 4) = MS - 4M + 3S - 12 = 180

MS - 4M + 3S - 12 = 180

MS - 4M + 3S = 192

M + S = 28

S = 28 - M

M(28 - M) - 4M + 3(28 - M) = 192

28M - [tex]M^{2}[/tex] - 4M + 84 - 3M = 192

-[tex]M^{2}[/tex] + 21M = 108

-[tex]M^{2}[/tex] + 21M - 108 = 0

(-M + 9)(M - 12) = 0

M = -9, 12

S = 37, 16

1st solution:

(-9 + 3)(37 - 4) = 180

-6 * 33 = 180

-198 = 180

2nd solution:

(12 + 3)(16 - 4) = 180

15 * 12 = 180

180 = 180

Therefore, M = 12 and S = 16.


6.55743... is an irrational number because it is an
a terminating decimal
a repeating decimal
a non-terminating and non-repeating decimal
a non-repeating decimal
a non-terminating decimal

Answers

Answer:

#3. a non-terminating and non-repeating

Step-by-step explanation:

6.55743... never ends and it never repeats either

Answer:

Not terminating but doesn't repeat either

Step-by-step explanation:

Cody stamped 460 envelopes in 30 minutes. How many envelopes per minute did Cody stamp?​

Answers

Answer:

15 1/3 envelopes in 1 minutes

Step-by-step explanation:

Take the number of envelopes and divide by the number of minutes

460 envelopes / 30 minutes

15.333333.... envelopes per minute

15 1/3 envelopes in 1 minutes

12 less than 10 times a number x

Answers

Step-by-step explanation:

10x-12 is the equation form

A clothing company buys t-shirts for $10 and sells them for $100. What is the percentage mark up on
t-shirts? Make sure you show at least one step of working

Answers

Answer:

900%

Step-by-step explanation:

Starting price : 10

End price: 100

100-10 = 90

90/10 = 9 = 900%

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Pls Solve
4x+16=x+166​

Answers

Answer:

50

Step-by-step explanation:

4x+16=x+166

-x        -x

3x+16=166

    -16  -16

       3x=150

     /3     /3

       x=50

Answer :

50

Step-by-step explanation:

4x + 16 = x + 166

4x - x = 166 - 16 (Subsituation )

3x = 150

x = 150 / 3

x = 50 !

Multiply (-4) (-2) (-5)

-40

-8

8

40

Answers

Answer:

your answer is -40

I hope it's helps you

Answer:

-40

Step-by-step explanation:

-4*-2*-5

+8*-5

-40

-*-=+

-*+=-

is 2/3 rational is 3.1415926535 rational

Answers

Answer:

yes 2/3 is rational.

Step-by-step explanation:

please mark me brain list

I need some help on 9 and 10

Answers

Answer:

Step-by-step explanation:

9

The angles are vertically opposite. Vertically opposite angles are equal.

12x - 5 = 10x + 1           Add 5 to both sides.

12x = 10x + 5 + 1          Combine

12x = 10x + 6                Subtract 10x from both sides.

12x - 10x = 6                Combine

2x = 6                          Divide by 2

x = 6/2

x = 3

10

Adjacent angles to each other when sharing a side are supplementary

4x + 7 + 2x + 5 = 180             Combine like terms on the left

6x + 12 = 180                          Subtract 12 from both sides

6x = 180 - 12                          Combine

6x = 168                                  Divide by 6

x = 168 / 6

x = 28

5/18 + 2/9=
geometry
adding fractions

Answers

the answers is 0.5 or 1/2

Answer:

1/2

Step-by-step explanation:

find the lowest common multiple

18x1 = 18

9x2 = 18

5/18 + 2/9

= 5/18 + 4/18 (multiply 2/9's numerator and denominator by 2)

= 9/18 or 1/2

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