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AleksAgata [21]
3 years ago
8

Two lines interesting at a right angle​

Mathematics
1 answer:
schepotkina [342]3 years ago
7 0

Answer:

Perpendicular lines are lines that intersect at right angles.

Step-by-step explanation:

I'm assuming that your question is asking what the term is for two lines that intersect at a right angle. If I'm correct then your answer is perpendicular lines.

Hope this helps

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Consider the vectors a =3i +j −k, b =i +j +4k, c=i +3j +k, d =−i −3j +k, g =−3i −j +k. Which pairs (if any) of these vectors are
11111nata11111 [884]

Answer:

a and b are perpendicular to each other, as are b and d, b and g

Step-by-step explanation:

To check whether two vectors are perpendicular to each other, we need the angle between these vectors to be 90 degrees.

We can find the angle between to vectors a and b from the following relation:

The cosine of the angle \theta between two vectors is equal to the dot product of this vectors divided by the product of vector magnitude.

So

cos(\theta) = \frac{a.b}{|a||b|}

cos(90) = 0, so when the dot product between vectors a and b is 0, it means that these vectors are perpendicular to each other.

Now, for your exercise, let's compute the dot product between these vectors.

-----------

a.b = (3,1,-1).(1,1,4) = 3+1-4 = 0

So a and b are perpendicular to each other.

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

a.c = (3,1,-1).(1,3,1) = 3+3-1 = 5

a and c are not perpendicular to each other.

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

a.d = (3,1,-1).(-1,-3,1) = -3-3-1 = -7

So not perpendicular

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

a.g = (3,1,-1).(-3,-1,1) = -9-1-1 = -11

Not

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

b.c = (1,1,4).(1,3,1) = 1+3+4 = 8

Not

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

b.d = (1,1,4).(-1,-3,1) = -1 -3 +4 = 0

b.d = 0, so b and d are perpendicular to each other

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

b.g = (1,1,4).(-3,-1,1) = -3-1+4 = 0

b.g = 0, perpendicular

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

c.d = (1,3,1).(-1,-3,1) = -1-9+1 = -9

No

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

c.g = (1,3,1).(-3,-1,1) = -3-3+1 = -5

No

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

d.g = (-1,-3,1).(-3,-1,1) = 3+3+1 = 7

No

7 0
3 years ago
Para las celebraciones del barrio de Santiago se junto cierta cantidad de dinero que se distribuirá de la siguiente forma:?
givi [52]

Answer:

4,767

Step-by-step explanation:

6 0
2 years ago
Just give answers I don't care the explaining just give me the answers I don't want to explain because I'm Savage just give answ
Aneli [31]
3). 9 10/11
5). 11 6/15
7). 11 5/6
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6 0
3 years ago
The angles of a triangle are 99??, 3x??, and x + 5??.
Anit [1.1K]
Since we know a triangle only has 180 degrees we can say:

99+3x+x+5=180

Then we can solve for x:

4x+104=180
4x=76

x=19


3 0
3 years ago
The assembly line that produces an electronic component of a missile system has historically resulted in a 2% defectiverate. a r
sattari [20]

<span>Defective rate can be expected to keep an eye on a Poisson distribution. Mean is equal to 800(0.02) = 16, Variance is 16, and so standard deviation is 4.
X = 800(0.04) = 32, Using normal approximation of the Poisson distribution Z1 = (32-16)/4 = 4.
P(greater than 4%) = P(Z>4) = 1 – 0.999968 = 0.000032, which implies that having such a defective rate is extremely unlikely.</span>

<span>If the defective rate in the random sample is 4 percent then it is very likely that the assembly line produces more than 2% defective rate now.</span>

3 0
3 years ago
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