B8 Write a vector equation and a scalarequation of a plane that satisfies each setof conditions.a) perpendicular to[x, y, z] = [5, 3, −1] + t[−1, 7, 2] andcontaining the point (1, 2, 5)b) parallel to the xz-plane andcontaining the point (-3, 1, 7)c) parallel to the plane3x + 5y - z+ 7 = 0d) containing the lines[x, y, z]= [2, 4, 1] + s[3, -1, 1] and[x, y, z]= [1, 4, 4] + [-3, 1, -1]11

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let vector a=4i-5j+3k and a point P(2,-1,3). If the length of PQ is equal to the length of vector a, and vector PQ is opposite to vector a, then the coordinate of Q is … (2,-4,0) (6,-6,0) (-2,4,0) (6,-6,-6) The equation for the plane passing through points (3,2,1),(2,1,-1), and (-1,3,2) is given as follows. 9x + y - z - 16 = 0 x + 9y - 5z - 16 = 0 x - 9y - 5z + 16 = 0 x + 5y - 9z - 16 = 0choose the correct answer
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8. Write a vector equation and a scalar equation of a plane that satisfies each set of conditions. a) perpendicular to [x, y, z]= [5, 3, −1] + t[−1, 7, 2] and containing the point (1, 2, 5) b) parallel to the xz-plane and containing the point (-3, 1, 7) c) parallel to the plane 4.45