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5. x=4-s+t Find a vector perpendicular to the plane = y = 1+ s-t (z=1+s+t b) [5, 5, 0] a) [1, -3, -4] c) [2, 1, 1] d) none of these

5. x=4-s+t Find a vector perpendicular to the plane = y = 1+ s-t (z=1+s+t b) [5, 5, 0] a) [1, -3, -4] c) [2, 1, 1] d) none of these

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 13CR
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5. 6. 7. 8. 9. 10. x=4-s+t Find a vector perpendicular to the plane = y = 1+ s-t ==1+s+t a) [1, -3, -4] b) [5, 5, 0] c) [2,1,1] d) none of these Which is a correct direction vector for the 2-space line: Px-Qy-R=0 a) [P.Q] b) [P,-Q] c) [Q,P] d) none of these Determine the point that lies on the line L: [x, y, z) = [−1, 3, 5] + t[2,-1,-2] a) (-7,5,4) d) none of these b) (-7,0,-1) c) (-7, 6, 11) (x = 6-t Find the intersection point of these lines: y = 2 (z=7-t c) (6, 2,7) and a) (3, 2, 4) b) (2, 1, 3) Determine how the following planes intersect: ₁:x-2y + 4z +6= 0 and ₂:2x - 4y+8+12=0| a) in a line b) are coincident c) in a point Determine how the following planes intersect: ₂:3x-6y + 12 + 16 = 0 a) in a line b) are coincident e) in a point (x=2+s y=1+s ==3+s d) none of these d) none of these ₁:x-2y+4=+6 = 0 and d) none of these
Transcribed Image Text:5. 6. 7. 8. 9. 10. x=4-s+t Find a vector perpendicular to the plane = y = 1+ s-t ==1+s+t a) [1, -3, -4] b) [5, 5, 0] c) [2,1,1] d) none of these Which is a correct direction vector for the 2-space line: Px-Qy-R=0 a) [P.Q] b) [P,-Q] c) [Q,P] d) none of these Determine the point that lies on the line L: [x, y, z) = [−1, 3, 5] + t[2,-1,-2] a) (-7,5,4) d) none of these b) (-7,0,-1) c) (-7, 6, 11) (x = 6-t Find the intersection point of these lines: y = 2 (z=7-t c) (6, 2,7) and a) (3, 2, 4) b) (2, 1, 3) Determine how the following planes intersect: ₁:x-2y + 4z +6= 0 and ₂:2x - 4y+8+12=0| a) in a line b) are coincident c) in a point Determine how the following planes intersect: ₂:3x-6y + 12 + 16 = 0 a) in a line b) are coincident e) in a point (x=2+s y=1+s ==3+s d) none of these d) none of these ₁:x-2y+4=+6 = 0 and d) none of these
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