bartleby

Find the point at which the given lines intersect: r = <3,3,0> + t<3,3,-2> r = <6,0,2> + s<-3,3,0>

Question

Find the point at which the given lines intersect:

r = <3,3,0> + t<3,3,-2>

r = <6,0,2> + s<-3,3,0>

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
Not helpful? See similar books
Elementary Geometry For College Students, 7e
Similar questions
To this solution
Learn more about
Euclidean Geometry
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Find the intersection point of the two lines: [x, y] = [1, 2] + t[2, -1] and [x, y] = [0, 3] + t[3,…

A: Click to see the answer

Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x = 2s + 2, y = s + 3,…

A: Answer

Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x 2s + 2, y = s + 3, z…

A: we have to find the point of intersection of the given lines

Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x 2s + 2, y = s + 3, z…

A: find out point of intersection of lines x=t,y=-t+2,z=t+1 and x=2s+2, y=s+3,z=5s+6

Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x = 2s + 2, y = s + 3,…

A: When two things intersect, their components are equal. You want to find where x1 = x2, y1 = y2, and…

Q: Do the lines (x, y, z) = (5 + 2t, 3 + 2t, 1 - If not, how do you know? t) and (x, y, z) = (13 – 3r,…

A: Click to see the answer

Q: Find the point of intersection of the lines r(t) = (1, 0, 0) + t(-7, 3, 0) and s(t) = (0, 1, 1) +…

A: Click to see the answer

Q: 3. Show that the lines L1 : x = 2+t, y= 2+3t, z = 3+t and L2:1 = 2+t, y= 3+ 4t, z = 4 + 2t…

A: L1: x =2+t , y= 2+3t , z= 3+t  L2: x =2+t , y= 3+4t , z= 3+t

Q: Explain why the lines below intersect. l1: (x, y, z) = (2, 3, 4) + n(1, 2, – 3) and l2: (x, y, z) =…

A: Given : Vector equation of the line l1 : x, y, z=2, 3, 4+n1, 2, -3 Vector equation of the line l2 :…

Q: Consider the two lines L1 : x= -2t, y= 1+2t, z= 3t and  L2 : x= -5+s, y= 1+4s, z= 1+5s find the…

A: Click to see the answer

Q: Find the point of intersection of the lines r;(t) = (-1, 1) + t(8, 4) and rɔ(s) = (2, 1) + s(8, 6)…

A: Consider the given lines in polar form. To find the intersection points equate the x and y…

Q: ) Find an equation of a line that is perpendicular to both u = and v m and contains the point (2,3,…

A: Click to see the answer

Q: Find the points of intersection of the line x = 3+2t, y =5+7t, z = -3+t, that is, I(t) = 3+2t, 5+7t,…

A: To determine the intersection of the line with the coordinate planes.

Q: Verify that the two lines are parallel and find the distance between the lines. L1:   x = 2 − t,   y…

A: Click to see the answer

Q: Verify that the lines are parallel, and find the distance between them L1: x = 2 - t, y= 3 + 4t, z =…

A: Click to see the answer

Q: Determine if the lines ℓ1: x − 9 = −t, y + 4 = 3t, z − 9 = 3t and ℓ2: x − 1 = s, y − 4 = −s, z − 9…

A: Click to see the answer

Q: 3. Show that the lines L :1 = 2+t, y = 2+3t, 2 = 3+t and La :1 = 2+t, y = 3+ 4t, 2 = 4+ 2t…

A: Click to see the answer

Q: The point of Intersection for the given lines: L:x=2+t,y=2+31, z=3+t L2: x=2+t,y%-3+4t, z=4+21

A: Given the lines are L1:  x=2+t , y=2+3t , z=3+t L2:  x=2+t , y=3+4t , z=4+2t

Q: Find a and b such that the lines r1 = (1, 2, 1) + t(1, −1, 1)andr2 = (3, −1, 1) + t(a, b, −2) are…

A: Given: r1=1,2,1+t1,-1,1 r2=3,-1,1+ta,b,-2 r1 and r2are parallel only if a1=b-1=-21

Q: Determine whether the lines h and I, intersect, are parallel, or are skew. 1: n= 4i+3j+ (i-j+6k) 12:…

A: Click to see the answer

Q: Explain why the lines below are parallel. l: (x, y, z) = (2, 3, 4) + n(1, 2, - 3) and (2: (x, y, z)…

A: l1 : x, y, z=2, 3, 4+n1, 2, -3l2 : x, y, z=3, 7, -2+r-1, -2, 3 Here, The direction ratios of l1 are…

Q: Find the intersection(s) of two lines A and B. Line A is x−2y=1,and line B is 2x+y=2.

A: Click to see the answer

Q: Consider the two lines L1: x=−2t,  y=1+2t,  z=3t and L2:  x=−9+5s,  y=3+2s,  z=1+5s Find the point…

A: Click to see the answer

Q: The line that is perpendicular to the lines r = ⟨4t, 1 + 2t, 3t⟩ and R = ⟨-1 + s, -7 + 2s, -12 +…

A: The given lines r→=j^+t4i^+2j^+3k^R→=-i^-7j^-12k^+si^+2j^+3k^ Let,  4i^+2j^+3k^=b1→i^+2j^+3k^=b2→ As…

Q: Consider the two lines  L1 : x=-2t, y=1+2t, z=3t L2 : x=-8+4s, y=1+4s, z=5+s Find the point of…

A: Click to see the answer

Q: So Find x²z ds, where C' is the line segment from C (0,-5,4) to (-6,-4,3)

A: Click to see the answer

Q: The intersection of plane A and plane S will be The intersection of lines n and k is W A x, Point X…

A: The intersection of two planes is a line. The intersection of 2 lines is a point The intersection of…

Q: Find the distance between the lines: r = + t r; = + s

A: Given: r1→=1,1,0+t1,6,2 and r2→=1,5,-2+s2,15,6 where a1=1,1,0 , a2=1,5,-2,b1=1,6,2, and b2=2,15,6 To…

Q: Find a line equation through the point P(1,2,3) and parallel to the line of intersection of the…

A: The symmetric form of a line passing through the point (a, b, c) in the direction &lt;h, k, l&gt;…

Q: find point b (x,y) given that M (7,3) is the midpoint of line A(10,4) and b

A: Click to see the answer

Q: Determine whether the lines r1(t) = 〈0, 1, 1〉+ t〈1, 1, 2〉 and r2(s) = 〈2, 0, 3〉+ s〈1, 4,…

A: line1:xyzt1+t1+2t and line2:xyz2+s4s3+4sto find the point of intersection we need to equate both the…

Q: Show that the equation of the line in R' through distinct points (1, Y1) and (x2, Y2) can be written…

A: We have to show that the equation of the line in R2 through distinct points x1,y1 and x2,y2 can be…

Q: Find the distance between the lines: i = +t rz= + s

A: Click to see the answer

Q: What is the general equation of a line given the points P(1,3) and Q(4,7)? O 4x-3y+5=0. O 4x+5y+3=0…

A: Click to see the answer

Q: Consider the two lines L1: x =-2t, y = 1+ 2t, z = 3t and L2: x =-9+5s, y = 5s, z = 4+ 2s Find the…

A: As the lines intersect thus their components are equal thus equate the components of the lines L1…

Q: Find a perpendicular line that passes through the given point (6,4); y 3x- 2 %3D O y = 1/3 x-6 O y =…

A: Click to see the answer

Q: Determine the point of intersection of the lines γ1 : ¯r1(t) = ⟨3, 2, 1⟩ + t⟨1, 0, 1⟩ and γ2 :…

A: First let's suppose both line are intersecting each other so, r1 = r2 then solve for t and s.

Q: Select all of the lines that go through the point (2, 5). Oy = (r- 5) + 2 O y = 2x + 1 %3D

A: We have given point (2, 5) a) OPTION (A) y=x-52+2 If the point (2, 5) lies on the above line then it…

Q: Show that the line joining the points P(0,1,2) and Q(3,4,8) is parallel to the line joining the…

A: Click to see the answer

Q: Show that the line joining the points P(0,1,2) and Q(3,4,8) is parallel to the line joining the…

A: Given points are:                             P(0,1 , 2)  and  Q(3, 4, 8) R(-2,32,-3) and S(52,6,6)

Q: Let l,,l2,lz be the lines X(t) = (1,1, 2) + t(1,2,3), X(s)= (9,8,11) + s(2,1,1) and X (r) = (0,0,0)…

A: Click to see the answer

Q: Determine whether the lines through the pairs of points are perpendicular.  A (2,0), B (1, -2) and…

A: Click to see the answer

Q: 9. Are the lines parallel, perpendicular or neither. Show work. 4. y3-x+2 3 3x+4y = 4 %3D

A: Click to see the answer

Q: Find general point for the lines The line through (0, -7, 0) perpendicular to the plane x + 2y + 2z…

A: Click to see the answer

Q: find the equations of the line that satisfy the given condition

A: Click to see the answer

Q: the distance from the point P(2,3) to the line -3y=-4x is : * 1/5 - 1/5 غير معرفة 1/25 17/5

A: Click to see the answer

Q: Determine the value of A so that the line whose equation is Ax + y = 2 is perpendicular to the line…

A: We are given 2 lines: The first (l1) has the equation Ax+y=2 The second l2 passes through the points…

Q: Determine the value of A so that the line whose equation is Ax + y = 2 is perpendicular to the line…

A: Consider the equation of the line Ax+y=2. We have to determine the value of A so that the line whose…

Q: Show that the line joining the points P(0,1,2) and Q(3,4,8) is parallel to the line joining the…

A: Click to see the answer

Q: Look at this diagram: R. V W Y If SU and are parallel lines and mSTR = 110°, what is mZVWT?

A: Click to see the answer

Knowledge Booster
Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • Elementary Geometry For College Students, 7e
    Geometry
    ISBN:9781337614085
    Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
    Publisher:Cengage,
    Elementary Algebra
    Algebra
    ISBN:9780998625713
    Author:Lynn Marecek, MaryAnne Anthony-Smith
    Publisher:OpenStax - Rice University
    College Algebra (MindTap Course List)
    Algebra
    ISBN:9781305652231
    Author:R. David Gustafson, Jeff Hughes
    Publisher:Cengage Learning
  • Algebra: Structure And Method, Book 1
    Algebra
    ISBN:9780395977224
    Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
    Publisher:McDougal Littell
    Big Ideas Math A Bridge To Success Algebra 1: Stu...
    Algebra
    ISBN:9781680331141
    Author:HOUGHTON MIFFLIN HARCOURT
    Publisher:Houghton Mifflin Harcourt
  • Elementary Geometry For College Students, 7e
    Geometry
    ISBN:9781337614085
    Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
    Publisher:Cengage,
    Elementary Algebra
    Algebra
    ISBN:9780998625713
    Author:Lynn Marecek, MaryAnne Anthony-Smith
    Publisher:OpenStax - Rice University
    College Algebra (MindTap Course List)
    Algebra
    ISBN:9781305652231
    Author:R. David Gustafson, Jeff Hughes
    Publisher:Cengage Learning
    Algebra: Structure And Method, Book 1
    Algebra
    ISBN:9780395977224
    Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
    Publisher:McDougal Littell
    Big Ideas Math A Bridge To Success Algebra 1: Stu...
    Algebra
    ISBN:9781680331141
    Author:HOUGHTON MIFFLIN HARCOURT
    Publisher:Houghton Mifflin Harcourt