da point P where the line intersects the plane, or decide that the line does not intersect the plane: 1+ 2t %3D L: y = 3-t 5+4t T: x+y- z = 2. 4+21 L: 7+2t 5+ 4t T: x+y-z = 2. 2%3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Find a point P where the line intersects the plane, or decide that the line does not intersect the plane:
(a)
1+ 2t
y = 3-t
5+4t
L:
T: x+y- z = 2.
(b)
4+2t
L:
y = 7+2t
5+ 4t
IT: x+y- z = 2.
Transcribed Image Text:Find a point P where the line intersects the plane, or decide that the line does not intersect the plane: (a) 1+ 2t y = 3-t 5+4t L: T: x+y- z = 2. (b) 4+2t L: y = 7+2t 5+ 4t IT: x+y- z = 2.
Expert Solution
Step 1

Given that the line L is x=1+2t, y=3-t, z=5+4t and plane is x+y-z=2.

We have to find the intersection point of line and plane.

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,