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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f(x) = -3x + 3
f(-2) = [?]
Help
is this the answer you're looking for? I'm sorry I'm confused
Pls pls pls pls help
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.
An account earns simple interest.
$1500 at 4% for 5 years
a. Find the interest earned.
$
b. Find the balance of the account.
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
HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
Answer:
exponential;increase
Step-by-step explanation:
answer is C
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?
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
SOMEONE PLEASE HELP
and please explain it so I won't get confused further on
Simplify. −12x−15−5x+310+32x Enter your answer in the box. Do not use decimals in your answer. 19 points!!! plz help!
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
12 (X + 2) - 4x = 4( 2X + 11 ) -20
Solve for X
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
Help fast please. I will give brainliest.
Answer:
Q5 ) A 80 UNITS²
pls give me brainliest
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?
100 gallon tbh rn because the spider ddint take much
Help Please................
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 help me find x
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°
Plz help me! I need an answer right away
What number is 40% of 15? Round to the nearest hundredth
Answer:
6Step-by-step explanation:
10% of 15 = 1.5x4=6Can someone help w/ this math problem plzz
Answer:
its C
Step-by-step explanation:
4k squared = 100 solve for k
Answer:
k = 5
Step-by-step explanation:
4k^2 = 100
4k^2/4 = 100/4
k^2 = 25
k=5
Select all that apply. Select the formulas that give the amount P in the account after the first period.
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)
FIND THE DOMAIN AND RANGE!!!!
please helppppppp
give u 10 pts
Answer:
y = x / -4
Step-by-step explanation:
Hope that helps!
what r passing marks out of 40
Answer:
36/40 - A, 32/40 - B, 28/40 - C, and 24/40 - D
Step-by-step explanation:
Answer:
18 is ur answer
thank yousolve the equation 3(x + 1) + 6 = 33.
Answer:
155
Step-by-step explanation:
pls help me it is inportant
Answer:
(5.x)+(5.2)
Step-by-step explanation:
Hope it helps you......
Answer:
nah
Step-by-step explanation:
is the answer 84.2??? if not pls explain THANK U ITS GEOMETRY
35x+0.10(100-x)
what’s the answer for this i’ve tried but can’t figure it out someone help me!!!
Answer:
34.9x+10
Step-by-step explanation:
Answer: solve for X
{
y=0,
y∈R,
x
=−1
x=0
Step-by-step explanation:
Please Help! Ill give brainliest no fakes PLEASE!!
Answer:
4 and then 15
Step-by-step explanation:
second one: 6:4
last one: 15:10
What is the domain of all of these points?
(8, 2), (12,9), (16, 16), (20, 23)
Answer:
8, 12, 16, 20
Step-by-step explanation:
those are the domains
Please help!!!!!! I will give brainliest!!
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.
How many solutions does this system of equations have?
Answer:
One solution.
A system of linear equations has one solution when the graphs intersect at a point.
I hope it's helpful!
6 tubs hold 125 gallons in all how much does each run hold
Answer:
125/6= 20.8 gallons
I need help it's geometry
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