Answer with "true or false". In addition, if the answer is false corrects the statement. If you can’t answer to all of em, please try answering to the ones that you can pleasee!! A) For a line and a plane in R3, if m •n = 0, then the line is parallel to the plane where it is located on the plane. B) In the Cartesian equation of the plane Ax + By + Cz + D = 0, (A,B,C) represents a point located on the plane. C) The planes defined by 4x + 6y - 2z-10 =0 and by 6x + 9y - 3z-10 = 0 intersect at a point. D) In the vector equation [x,y,z] = [ x1, Y1, z1]+t [m1,m2, m3 ] . [M1,m2, m3] represents the vector-director of the right. E) The line defined by d: [ x,y,z] = [5, -4,1] + k [2, -3,1] is parallel plane Pi(π): 4x -5y-4z+2=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Answer with "true or false". In addition, if the answer is false corrects the statement. If you can’t answer to all of em, please try answering to the ones that you can pleasee!! A) For a line and a plane in R3, if m •n = 0, then the line is parallel to the plane where it is located on the plane. B) In the Cartesian equation of the plane Ax + By + Cz + D = 0, (A,B,C) represents a point located on the plane. C) The planes defined by 4x + 6y - 2z-10 =0 and by 6x + 9y - 3z-10 = 0 intersect at a point. D) In the vector equation [x,y,z] = [ x1, Y1, z1]+t [m1,m2, m3 ] . [M1,m2, m3] represents the vector-director of the right. E) The line defined by d: [ x,y,z] = [5, -4,1] + k [2, -3,1] is parallel plane Pi(π): 4x -5y-4z+2=0
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