Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Determine whether the lines $ L_1 $ and $ L_2 $ are parallel, skew, or intersecting. If they intersect, find the point of intersection.

$ L_1 : \frac{x}{1} = \frac{y - 1}{-1} = \frac{z - 2}{3} $$ L_2 : \frac{x - 2}{2} = \frac{y - 3}{-2} = \frac{z}{7} $

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

skew

02:42

Wen Zheng

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 5

Equations of Lines and Planes

Vectors

Oregon State University

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Lectures

02:56

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

11:08

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

04:14

Determine whether the line…

01:41

04:53

04:08

01:05

00:28

00:49

03:32

00:31

01:45

mhm. In the question they're asking to determine whether line L. One and L two, our palates you are intersecting if intersecting them, Find the point of intersection line L one and L two is given by the equation X by one equal to y minus one or minus one is equal to zed minus two by three. And lt is given by x minus two by two is equal to y minus three by minus two is equal to zero by seven. And if we put the equation in a arrange manner then we can get no value to be created to all constant value that is equal to L one which equals to constant value T. And L two which equals to constant value S. And so For the first conditioner to take L one and L two is parallel or not. Therefore From L one equation can find that X equal to t. Why equal to minus t plus one That equal to 3? T. Let's do. And yeah For equation L two We get x equal to two x plus two. Why equal to -2? s plus three that equal to seven is yeah. Therefore for checking if these lines are value to each other, not to complete the coefficients of border lines. So this is equal to one x 2 is equal to -1 x -2 is equal to three x 7. But the third ratio is not equal to the first ratios. Hence L one and L two is not Berlin to each other. Now the second part is we have to say whether they are intersecting or not. So we're checking this, you have to compute the X, Y and Z coordinates to be equal and find a valid value. If it has a valid value then they are intersecting. Otherwise they are not intersecting. So the tree equations from these lines rT is equal to To S Plus two. Three, T plus two is equal to seven is and -D. Plus one Is equal to -2 ways plus three. Therefore These are the three questions From the three coordinates of the two lines. So from one we get the value of in terms of s. And if you put this value in the other equation we get mhm minus To S Plus two. Last one is equal to minus two X plus three from this equation. We can derive that -1 is equal to three and this is not possible. Hence these lines are not intercepting since L one and L two is not intersecting. Therefore yeah, L one and L two is a schooling So L one and L two, R. Not Berlin and L one and L two R. Not intersecting also. So L one and L two lines are skew lines and this is the required answer or the given question. Okay

View More Answers From This Book

Find Another Textbook

02:27

'360 people were asked about their favorite color . The results is show…

02:35

'abcd is a rectangle. work out the angle labelled a in each diagram…

02:47

'Please solve it.....462on 7 2x22xr (3 5tr)= 4'

02:58

'plz solve this question of statistics'

00:32

"Find the value of . Please solve these ,and give me correct answer.

01:51

'The base pf triangular field is twice its altitude. If the cost of cul…

01:03

'Given ⊙A and BC¯¯¯¯¯¯≅CD¯¯¯¯¯¯, what is ___ BCGiven @ A and BC…