1. Prove that the intersection line of the planes P,:2x - y - 2z = 0 andP2: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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Answered: Prove that the intersection line of the…

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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Question

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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