Let x-ysin?-zsin?=0 , xsin?+zsin?-y=0and xsin?+ysin?-z=0 be the equation of the planes such that ?+?+?=\frac{?|2} ; for ?,?,?≠0Then show that there is a common line of intersection of the three given planes. Let x – ysina – zsinß = 0, xsina + zsiny - y = 0and xsinß + ysiny – z = 0 be the equation of the planes such thaty + ß + a =π; for a, b, y = 0Then show that there is a common line of intersection of the three givenplanes.

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Answered: tersection of the three given planes.

Math

Advanced Math

tersection of the three given planes.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 13AEXP

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Question

Let x-ysin?-zsin?=0 , xsin?+zsin?-y=0

and xsin?+ysin?-z=0 be the equation of the planes such that

?+?+?=\frac{?|2} ; for ?,?,?≠0

Then show that there is a common line of intersection of the three given
planes.

Let x – ysina – zsinß = 0, xsina + zsiny - y = 0
and xsinß + ysiny – z = 0 be the equation of the planes such that
y + ß + a =
π
; for a, b, y = 0
Then show that there is a common line of intersection of the three given
planes.

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