Prove that the intersection line of the planes P₁: 2x -y - 2z = 0 and P₂:x-2y+z = 0 is parallel to the vector v = = (25,20,15).
Prove that the intersection line of the planes P₁: 2x -y - 2z = 0 and P₂:x-2y+z = 0 is parallel to the vector v = = (25,20,15).
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 13CR
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![1. Prove that the intersection line of the planes P,:2x - y - 2z = 0 and
P2:x – 2y + z =0 is parallel to the vector v =
(25,20,15).
2. Let u = (2,1,3) and v = (2,1,4) be two vectors find the vectors u+v,
u – 2v and the unite vector has the same direction of u + v.
3. a) Find the length and direction of the vector A = V3i j.
b) Let A and B be two vectors in space, prove that: If A 1 B then A B = 0.
1 Add file](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc18ad66-6407-4fed-a20b-8c6844ee161a%2F8ab93f2e-e49b-4e6d-aa4c-9a454d534c41%2Fqt7mkx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Prove that the intersection line of the planes P,:2x - y - 2z = 0 and
P2:x – 2y + z =0 is parallel to the vector v =
(25,20,15).
2. Let u = (2,1,3) and v = (2,1,4) be two vectors find the vectors u+v,
u – 2v and the unite vector has the same direction of u + v.
3. a) Find the length and direction of the vector A = V3i j.
b) Let A and B be two vectors in space, prove that: If A 1 B then A B = 0.
1 Add file
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