1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vesna_86 [32]
4 years ago
6

Find the distance between the skew lines with parametric equations x = 2 + t, y = 2 + 6t, z = 2t, and x = 2 + 2s, y = 4 + 14s, z

= −1 + 5s.
Mathematics
1 answer:
Ierofanga [76]4 years ago
7 0

we are given

skew lines as

L1:  x = 2 + t, y = 2 + 6t, z = 2t

L2: x = 2 + 2s, y = 4 + 14s, z = −1 + 5s

Firstly, we will find directional vector

u=(1,6,2)

v=(2,14,5)

now, we will find cross product

n=uXv

n=(1,6,2)X(2,14,5)

n=(2,-1,2)

we are given two points as

P: (2,2,0)  and Q:(2,4,-1)

The dot product of orthogonal vectors is zero

n*PR=0

(2,-1,2)*((x-2) , (y-2) , (z-0))=0

2(x-2)-1(y-2)+2(z-0)=0

2x-4-y+2+2z=0

2x-y+2z-2=0

now, we can find distance from point Q

d=\frac{|2*2-4+2*-1-2|}{\sqrt{2^2+(-1)^2+(2)^2} }

d=\frac{4}{3}..........Answer

You might be interested in
What is the percent of change from 28 to 70
Paul [167]
Your answer will be 150 percent
3 0
3 years ago
A balloon is hovering 800 ft above a lake. The balloon is observed by the crew of a boat as they look upwards at an angle of 20
stich3 [128]

Answer:

Step-by-step explanation:

given that a balloon is hovering 800 ft above a lake. The balloon is observed by the crew of a boat as they look upwards at an angle of 20 degrees. Twenty-five seconds later, the crew has to look at an angle of 65 degrees to see the balloon

The distance of the boat from the balloon measured horizontally in the I position = 800 tan 20

After 25 seconds distance of the boat from the balloon measured horizontally in the II position

= 800 tan 65

Distance moved by the boat in 25 seconds

= 800(tan 65-tan 20)\\= 1342.56

Speed of the boat per second = \frac{1342.56}{25} \\=53.702

53.702 feet per second is the speed of boat

5 0
3 years ago
HELP HELP HELP HELP ASAP
vichka [17]

Answer:

(2,3)

Step-by-step explanation:

The solution to a linear system is always where both of the lines intersect.

8 0
3 years ago
GIVING MEDAL. What is the image of Q for a dilation with center (0, 0) and a scale factor of 0.5? A. (0.5, 2.5) B. (2, 10) C. (1
xenn [34]
I think it is c I believe
7 0
4 years ago
Read 2 more answers
Write an equation to represent the total cost y for x days of renting a mid-size car from each of these companies. *
Andrej [43]

Answer:

Step-by-step explanation:

Hindi ko alm hehe

5 0
3 years ago
Read 2 more answers
Other questions:
  • I WILL MARK BRAINILLST PLZZZZZZZZZZ HELP
    5·1 answer
  • 2y^2-4y-8=-y+y help I don't get it :( quadratic equation
    6·1 answer
  • Simplify the following expression: 7y+2x-10y+3x^2-10x
    14·1 answer
  • Sum and simplify 7/8+3/8
    5·2 answers
  • Suppose that 30% of all students who have to buy a text for a particular course want a new copy (the successes!), whereas the ot
    6·1 answer
  • Help on both 13 and 14. Show work please
    9·1 answer
  • A number sentence stating that two amounts are egual
    9·1 answer
  • Simplify each side of the following equation before applying the addition property
    11·2 answers
  • Simplify 2 square root of 5 plus 3 square root of 5 minus square root of5?
    12·1 answer
  • A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour. Which equation represents how many grams of the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!