Answered: 16. Find the vector and Cartesian…

16. Find the vector and Cartesian equation of the planes containing, a. the point 4(1,5, 3) and perpendicular to the vector d = 31-4/+6k. b. the points A(1,3, 4), B(2,-1,4) and C(-2,4,5).

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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Question

16. Find the vector and Cartesian equation of the planes containing,
a. the point A(1,5,3) and perpendicular to the vector d = 31 -4/+6k .
b. the points A(1,3, 4), B(2,–1,4) and C(-2,4,5).
x-3
c. the point A(2,4,3) and perpendicular to the line
5
-= y+2=
2
x-1y+3
z-1
d. the point A(1,-1, 2) ,and the line with equation
2
-1

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