A plane P that passes through the points (0, 3, 2) and (1, −2, 4) and containingx-17z+mthe line with Cartesian equationy-2:where m is a constant.414(i)(ii)Find the equation of the plane P.Determine the value of m.2Determine if the plane given by -x+2z-10=0 and the liner=< 5, 2, 10> + t <0,−1, 4> are orthogonal, parallel or neither.

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Answered: x- Fine with Cartesian equation =y-2= 4…

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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x- Fine with Cartesian equation =y-2= 4 Find the equation of the plane P. Determine the value of m. 7z+m 14 where rmine if the plane given by -x+2z-10=0 :5, 2, 10 > + t < 0, -1, 4> are orthogonal, parallel or neit