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PROBLEM SET #1 ODD NUMBERS Find the eguation of the plane that parrer point (3,-2,4) and is perpendicular to each oF the planer 7x-3y tz-5-0 and 4x - y-z19-0 Anr. 4x t lly t5z-10-0 Equattion of any plane pamer through (8-2,4) by a(x-3) 6€ y 12) t c (2-4)=

PROBLEM SET #1 ODD NUMBERS Find the eguation of the plane that parrer point (3,-2,4) and is perpendicular to each oF the planer 7x-3y tz-5-0 and 4x - y-z19-0 Anr. 4x t lly t5z-10-0 Equattion of any plane pamer through (8-2,4) by a(x-3) 6€ y 12) t c (2-4)=

Linear Algebra: A Modern Introduction
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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please graph this and indicate also the dimension of the graph take a screenshot of it using Geogebra 

4:23 ןוו. PROBLEM SET #1 O0D NUMBERS Find the eguation OF the plane that parrer point (8,-2,4) and is perpendicular to each oF the planer 7x-3y tz-5=0 and 4x - y-z t9-0 Anr. fx t lly t5z -10-0 E quation of any plane pamer through (8-2,4) by a (x-3) 6t y 12) t c (2-4)-0 Where (a, b, c) are direction ratior of the reg uired plane. Now 7x - By + z - 5=0 4x - y- 2 +9 =.. ... Direc tion ratios of O and (H ore (7,-8,1) and (4,-1, -1) revpective ly. Since O omd O are perpen dicular fo 7a-86 + C 0 ... (N) A lso O and (m perpen dicular > 401- b-C =o .. Now From N onnd O uring croor multiplicottion wo get 4+7 -7 +12 う 4 6. 4 a = 4k 6= lk -5 C= -5 k Now (の 6ecomer 4k (x-3) + "k(y+2) + 5k (2-4) -0 →依tly t52= I2-122+20 = 10. => x tl yt5z-10 = 0 Thir N the oloane So my Paw you in Foelr like miracle ont K rcary, aemy. thing
Transcribed Image Text:4:23 ןוו. PROBLEM SET #1 O0D NUMBERS Find the eguation OF the plane that parrer point (8,-2,4) and is perpendicular to each oF the planer 7x-3y tz-5=0 and 4x - y-z t9-0 Anr. fx t lly t5z -10-0 E quation of any plane pamer through (8-2,4) by a (x-3) 6t y 12) t c (2-4)-0 Where (a, b, c) are direction ratior of the reg uired plane. Now 7x - By + z - 5=0 4x - y- 2 +9 =.. ... Direc tion ratios of O and (H ore (7,-8,1) and (4,-1, -1) revpective ly. Since O omd O are perpen dicular fo 7a-86 + C 0 ... (N) A lso O and (m perpen dicular > 401- b-C =o .. Now From N onnd O uring croor multiplicottion wo get 4+7 -7 +12 う 4 6. 4 a = 4k 6= lk -5 C= -5 k Now (の 6ecomer 4k (x-3) + "k(y+2) + 5k (2-4) -0 →依tly t52= I2-122+20 = 10. => x tl yt5z-10 = 0 Thir N the oloane So my Paw you in Foelr like miracle ont K rcary, aemy. thing
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