1. Given the points A(2,2,1) and B(9,3,6) and the plane K: 2x+6y+6z-9=0 Define: a. the equation of the line that passes through A and is perpendicular to the plane K b. the equation of the plane that passes through the midpoint of the line segment AB and is perpendicular to the line AB

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 19EQ
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1. Given the points A(2,2,1) and B(9,3,6) and the plane K: 2x+6y+6z-9=0
Define:
a. the equation of the line that passes through A and is perpendicular
to the plane K
b. the equation of the plane that passes through the midpoint of the line
segment AB and is perpendicular to the line AB
Transcribed Image Text:1. Given the points A(2,2,1) and B(9,3,6) and the plane K: 2x+6y+6z-9=0 Define: a. the equation of the line that passes through A and is perpendicular to the plane K b. the equation of the plane that passes through the midpoint of the line segment AB and is perpendicular to the line AB
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