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
Lubov Fominskaja [6]
3 years ago
13

Find the distance from the line passing through points P(0,0,0) and Q(9,0,0) to the line passing through points R(3,-2,4) and S(

3,-6,-8).
Mathematics
1 answer:
Alika [10]3 years ago
4 0

Answer:

Step-by-step explanation:

Let the I line be PQ and II line be RS

Direction ratios  of PQ = (9,0,0) and direction ratios of RS = (0, -4, -12)

Distance between skew lines

=(a1-a2).(b1xb2)/|b1xb2|

where a1 and a2 are points

Here a1-a2 = (-3,2,-4) taking P and Q as points.

b1 = (9,0,0) and b2 = (0,-4,-12)

Shortest Distance = (a2-a1).(b1xb2)/|b1xb2|

De\left[\begin{array}{ccc}-3&2&-4\\9&0&0\\0&-4&-12\end{array}\right]

Numerator = -9(-24-16)=360

Denominator vector = i(0)-j(-108)+k(-36)

Modulus  of vector =\sqrt{108^2+36^2} =36\sqrt{10}

Hence Shortest distance = \sqrt{10}

You might be interested in
Questions 33-36 I don’t know how to find the answer and I need help on how I can find the answer
bulgar [2K]
The answer is 90, 25, 155, 115 respectively
4 0
3 years ago
Inez has to pay 4 percent in closing costs and 16 percent for the down payment on a purchase of $225,500 with an ARM. Over the l
Vinvika [58]
Answer for your question is (307,172.72)
6 0
3 years ago
Read 2 more answers
Simplify 400:240 fully
gayaneshka [121]
40:24
20;12
10;6
5;3

5:3
3 0
3 years ago
Read 2 more answers
Can someone help me please!!
ratelena [41]

The coordinates of E are (5.75, 0).

<h3>What is midpoint?</h3>

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Given that, C is the midpoint of AB, D is the midpoint of CB and E is the midpoint of DB.

Formula for coordinates of midpoint,

(x, y) = [(x1+x2)/2, (y1+y2)/2]

Coordinates of C;

(x, y) = (-10+8)/2, (14-2)/2

(x, y) = (-1, 6)

Coordinates of D;

(x, y) = (-1+8)/2, (6-2)/2

(x, y) = (3.5, 2)

Coordinates of E;

(x, y) = (3.5+8)/2, (2-2)/2

(x, y) =  (5.75, 0)

Hence, The coordinates of E are (5.75, 0).

For more references on midpoints, click;

brainly.com/question/28224145

#SPJ1

8 0
1 year ago
Write an equation of a line that passes through (-12, -14) with slope 6.
damaskus [11]

The slope intercept form of a line is y = mx + b

  • m = slope
  • b = y-intercept

Plug in the slope, 6, into m.

Rewrite the equation;

  • y = 6x + b
  • We need to find b, your y-intercept, to finish this equation.

Plug in your point coordinate, (x, y) ⇒ (-12, -14) into the equation.

  • -14 = 6(-12) + b

Solve for b to find the y-intercept.

  • -14 = -72 + b
  • 58 = b

Your new equation (your answer) is<em> </em>y = 6x + 58.

6 0
3 years ago
Other questions:
  • 9tsp to 2T <br>it's a ratio question​
    8·1 answer
  • PLEASE HELP ASAP!!! 70 POINTS AND BRAINLIEST!!!
    9·2 answers
  • The front of Jane’s house is similar in shape to the front of Spot’s doghouse. The base of the doghouse is 5 feet and the height
    15·1 answer
  • Please help!!!! Find X and Y
    6·1 answer
  • What is the value of x that makes the statement true?<br><br> 9x - 22 = 11x - 54<br><br> x =
    10·1 answer
  • Hbxhsnnsgdhejeebejhebejejrj
    14·2 answers
  • I need help with number 5
    10·2 answers
  • PLZ HELP!!!!
    14·1 answer
  • A bus is traveling 54 miles per hour. Use this information to fill in the table.
    7·2 answers
  • I need help . Please help me on this question.<br> Thank you
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!