In the 3D coordinate system, for the quadric with euqation ax2 + y2 + 4z2+x + 6y − 4z = −a − 10 where a is a parameter.Find all the values of a for which this quadric is(1) an elliptical cone...

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Answered: In the 3D coordinate system, for the…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 44EQ

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In the 3D coordinate system, for the quadric with euqation ax² + y² + 4z²+x + 6y − 4z = −a − 10 where a is a parameter.

Find all the values of a for which this quadric is

(1) an elliptical cone...

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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