Find point P where the given line intersects the given. Plane or decide that the line aoes not intersect the plane (A) S X 1+2t X+y-2 =2 y= 3-t 2 5+4t %3D (B) x 4+2t xt y -2 = 2 %3D 2: 5+ 4E
Find point P where the given line intersects the given. Plane or decide that the line aoes not intersect the plane (A) S X 1+2t X+y-2 =2 y= 3-t 2 5+4t %3D (B) x 4+2t xt y -2 = 2 %3D 2: 5+ 4E
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please show step and answer
![**Problem Statement:**
Find point P where the given line intersects the given plane or decide that the line does not intersect the plane.
**(A)**
\[
\begin{cases}
x = 1 + 2t \\
y = 3 - t \\
z = 5 + 4t
\end{cases}
\]
**Equation of the Plane:**
\[ x + y - z = 2 \]
---
**(B)**
\[
\begin{cases}
x = 4 + 2t \\
y = 7 + 2t \\
z = 5 + 4t
\end{cases}
\]
**Equation of the Plane:**
\[ x + y - 2 = 2 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb7f1ce8-2552-49b5-ba1d-534a58de11ae%2F0b023e79-d43a-4dcd-9f9d-3a57f9bffb7f%2Fg6lrmv7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find point P where the given line intersects the given plane or decide that the line does not intersect the plane.
**(A)**
\[
\begin{cases}
x = 1 + 2t \\
y = 3 - t \\
z = 5 + 4t
\end{cases}
\]
**Equation of the Plane:**
\[ x + y - z = 2 \]
---
**(B)**
\[
\begin{cases}
x = 4 + 2t \\
y = 7 + 2t \\
z = 5 + 4t
\end{cases}
\]
**Equation of the Plane:**
\[ x + y - 2 = 2 \]
Expert Solution
Step 1
For finding intersection point, substitute the values of x, y, z given in equation of line in equation of plane and then simplify equation of plane.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
