let u and v be vectors in three dimensional space. if u*v = 0, then u=0 or u=0. state if this is true or false. explain why.

Answers

Answer 1

The statement "Let u and v be vectors in three-dimensional space. If u*v = 0, then u=0 or u=0." is false, and here's why:

When two vectors u and v have a dot product of 0 (u*v = 0), it means that the vectors are orthogonal, or perpendicular, to each other.

The statement incorrectly states that u=0 or u=0 (which seems like a typo, as it should say u=0 or v=0) if the dot product is 0. This is not necessarily true, as the vectors can be non-zero and still be orthogonal to each other. For example, if u = [1, 0, 0] and v = [0, 1, 0], the dot product is 0 (u*v = 0), but neither u nor v is the zero vector.

So, the statement is false because it is not required that one of the vectors (u or v) must be the zero vector if their dot product is 0. They can both be non-zero vectors and still have a dot product of 0 if they are orthogonal to each other.

To know more about vectors refer here:

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Related Questions

Please help!!!!!! I will give brainliest!!

Answers

Step-by-step explanation:

6 = 3(-1) +9 yes this is true

5(-1) +6 = 1 Yes this is true

so yes it's a solution because it works in both equations.

Please Help! Ill give brainliest no fakes PLEASE!!

Answers

Answer:

4 and then 15

Step-by-step explanation:

second one: 6:4

last one: 15:10

I need help it's geometry

Answers

Step-by-step explanation:

[tex] \sin(45) = \frac{x}{5} \\ \frac{1}{ \sqrt{2} } = \frac{x}{5} \\ x = \frac{5}{ \sqrt{2} } = 3.535[/tex]

[tex] \sin(45) = \frac{y}{5} \\ y = \frac{5}{ \sqrt{2} } = 3.535[/tex]

Answer:

[tex]\frac{5\sqrt{2} }{2 }[/tex]

Step-by-step explanation:

x=y

45-45-90 equation is x-x- x square root of 2

12 (X + 2) - 4x = 4( 2X + 11 ) -20

Solve for X ​

Answers

Answer:

Step-by-step explanation:

12 (x + 2) - 4x = 4 (2x + 11) - 20

12 + 24 - 4x = 8x + 44 - 20

36 - 4x = 8x + 24

36 - 24 = 8x - 4x

12 = 4x

----   ----

 4     4

3 = x

-x = -3

x = 3

FIND THE DOMAIN AND RANGE!!!!

Answers

For the domain, you would find that all the numbers that go across in the x axis. In this case -3 is less than or equal to x which is less than or equal to 4. Same with the range, different numbers. -3 is less than or equal to y which is less than or equal to 2. Hope this helped!

Pls pls pls pls help

Answers

Step-by-step explanation:

To prove that two lines are perpendicular, when all we have are those two lines, we can use the Linear Pair Perpendicular Theorem - If two straight lines intersect at a point and form a linear pair of equal angles, they are perpendicular.

Our diagonals intersect at point O, so we'd need to show the two linear angles formed at that intersection point are equal, and we can do that with triangle congruency.

A rhombus is a parallelogram, so we will use what we already know about parallelograms - that the diagonals bisect each other.

It is then easy to show that the triangles  ΔAOD and  ΔAOB are congruent using the Side-Side-Side postulate, and from that that ∠AOD ≅ ∠AOB.

And now, since ∠AOD and ∠AOB are a linear pair, we use the Linear Pair Perpendicular Theorem - If two straight lines intersect at a point and form a linear pair of equal angles, they are perpendicular.

PROOF

(1) ABCD is a rhombus //Given

(2) AB=AD                     //definition of rhombus

(3) AO=AO                    //Common side, reflexive property of equality

(4) BO=OD // A rhombus is a parallelogram, a parallelogram's diagonals bisect each other

(5) △AOD≅△AOB   //Side-Side-Side postulate.    

(6) ∠AOD ≅ ∠AOB     //Corresponding angles in congruent triangles (CPCTC)

(7) AC⊥DB     //Linear Pair Perpendicular Theorem

The converse of this is also true: if a parallelogram's diagonals are perpendicular, it is a rhombus.

solve the equation 3(x + 1) + 6 = 33.

Answers

Answer:

155

Step-by-step explanation:

35x+0.10(100-x)

what’s the answer for this i’ve tried but can’t figure it out someone help me!!!

Answers

Answer:

34.9x+10

Step-by-step explanation:

Answer: solve for X

{

y=0,

y∈R,

 

x

=−1

x=0

Step-by-step explanation:

SOMEONE PLEASE HELP


and please explain it so I won't get confused further on ​

Answers

Number 5 is 110 degrees because it is the same angle as m<2.

Now, to find m<7
A straight line is 180 degrees. One side is already given. m<8+m<7 = 180 degrees. So 180-110=70.

Answers:
4. m<7= 70 degrees

5. m<8= 110 degrees

Una araña de 75g de masa está suspendida de la telaraña que tejio poniéndola en el techo, cómo se muestra en la siguiente figura.
¿cuál es el valor de las tensiones en los hilos de las telarañas unidos al techo? ​

Answers

100 gallon tbh rn because the spider ddint take much

HELP I NEED HELP ASAP

Answers

Answer:

C

Step-by-step explanation:

Answer:

exponential;increase

Step-by-step explanation:

answer is C

Simplify. −12x−15−5x+310+32x Enter your answer in the box. Do not use decimals in your answer. 19 points!!! plz help!

Answers

Answer:

25x+295

Step-by-step explanation:

-12x-5x+32x=25x

-15+310=295

Answer:

-4x + 1/10

Step-by-step explanation:

Because I did the test. hope you have a lovley day at K12

is the answer 84.2??? if not pls explain THANK U ITS GEOMETRY

Answers

The answer is 12.2129

Sin(40)=x/19
*19 *19
12.2129=x

Help Please................

Answers

Answer:

split then d the trinangle with the base and the height and do the rectangle as length times width

Step-by-step explanation:

Answer: 1152

Step-by-step explanation:


please helppppppp

give u 10 pts​

Answers

Answer:

y = x / -4

Step-by-step explanation:

Hope that helps!

Use desmos calculator graphing. Tap the plus. Tap table. Enter x1 on one side and y1 on the other. Enter the data for each side. Make a new equation and Use the following formula: y~ab^x1 = y=0.18(0.74)^x

How many solutions does this system of equations have?

Answers

Answer:

One solution.

A system of linear equations has one solution when the graphs intersect at a point.

I hope it's helpful!

what r passing marks out of 40​

Answers

Answer:

36/40 - A, 32/40 - B, 28/40 - C, and 24/40 - D

Step-by-step explanation:

Answer:

18 is ur answer

thank you

6 tubs hold 125 gallons in all how much does each run hold

Answers

Answer:

125/6= 20.8 gallons

Plz help me! I need an answer right away

Answers

The answer is G ( 1/9 )

f(x) = -3x + 3
f(-2) = [?]
Help

Answers

is this the answer you're looking for? I'm sorry I'm confused

pls help me it is inportant

Answers

Answer:

(5.x)+(5.2)

Step-by-step explanation:

Hope it helps you......

Answer:

nah

Step-by-step explanation:

Can someone help w/ this math problem plzz

Answers

Answer:

its C

Step-by-step explanation:

Please help me find x

Answers

you have to find the angles inside the triangle first so

- 180-109 = 71° (angles on a straight line add up to 180°)

- 55° (vertically opposite angles)

71+55= 126

180-126= 54

x=54°

What number is 40% of 15? Round to the nearest hundredth

Answers

Answer:

6

Step-by-step explanation:

10% of 15 = 1.5x4=6

Select all that apply. Select the formulas that give the amount P in the account after the first period.

Answers

Options :

a.) P=1.005Po

b.) P=1.02Po

c.) P=Po(0.02/4)

d.) P=Po(4.02/4)

e.) P=Po(1+ 0.02/4)

Answer:

a.) P=1.005Po

d.) e.) P=Po(1+ 0.02/4)

Step-by-step explanation:

From the compound interest formula:

P = P0(1 + r/n)^t

Rate = 2% = 2/100 = 0.02

n = Number of compounding times per period, quarterly ; n = (12 /3) months

P = P0(1 + 0.02/4)^1

P = p0(1 + 0.02/4)

Simplifying further :

P = P0(1 + 0.005)

P = p0(1.005)

Help fast please. I will give brainliest.

Answers

Answer:

Q5 ) A 80 UNITS²

pls give me brainliest

The tree frog population in your back yard doubles every two weeks. Currently, there are 10 frogs in your back yard. Assuning that there are 4
weeks in a month how many tree frogs will there be in 3 months?

Answers

Answer:

there would be 40,960 tree frogs i think

Step-by-step explanation:

Answer:

640 tree frogs

Step-by-step explanation:

If 1 month = 4 weeks

3 months = 12 weeks (3x4)

After 2 weeks the frogs double to 20

After 4 weeks the frogs double to 40

6 weeks, it doubles to 80

8 weeks, it's 160

10 weeks it's 320

12 weeks, it's 640

4k squared = 100 solve for k

Answers

Answer:

k = 5

Step-by-step explanation:

4k^2 = 100

4k^2/4 = 100/4

k^2 = 25

k=5

An account earns simple interest.
$1500 at 4% for 5 years
a. Find the interest earned.
$
b. Find the balance of the account.

Answers

Answer:

a) $300 in interest

b) $1800 account total

Step-by-step explanation:

Interest = Principal x Rate x Time

I = 1500(.04)(5)

I = 300

A = P + I

1800 = 1500 + 300

What is the domain of all of these points?
(8, 2), (12,9), (16, 16), (20, 23)

Answers

Answer:

8, 12, 16, 20

Step-by-step explanation:

those are the domains

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