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a<-2,1,-6> b<-5,-4,3> c<12-1> d<-543> e<-202> Which of the following vector is perpendicular to the given 2 vectors? <212> nd -L1,-3> A-2,1,-6> b<-5-43> c<12-1> d<-543> e<-20,2 Evaluate

a<-2,1,-6> b<-5,-4,3> c<12-1> d<-543> e<-202> Which of the following vector is perpendicular to the given 2 vectors? <212> nd -L1,-3> A-2,1,-6> b<-5-43> c<12-1> d<-543> e<-20,2 Evaluate

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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a<-2,1.-6> b<-5,-4,3> c<12-1> 5) Which of the following vector is perpendicular to the given 2 vectors ? =< 2,12> and -11,-3> 6) Evaluate d.<-543> e<-2,0,2 > (2+2ry)dydr a. 10 b.24 46 d. 30 e. 26 Which of the following point is the critical point of the given function ? fa.y) = 2ry - 5x -2y +4x - 4 of Parametric equations and a value for the parametert are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t. x=t +2, y=t- 6 t= 2 a. (5,21) b. (4,2) c (1,3) d. (3.-1) e (-2,2) 9) Let d=i-j+ 2k and b=i+2j+ 3k. Find 2a - 5|. b. 2V3 a. 2/2 c. 18 d. 9 e. 3V7 10) If d= 21+j+ 4k and b= 47 + 2f +k, then find cose between the vectors a and b. b. 11) tet f(x,y) = sin(xy) + y lnx. Find fy(x,y) at E.0). d. 1 e.2 %3D a. 3 b. 33 c.0 12) Find a rectangular equation for the plane curve defined by the parametric equations. x= VE,y = 3t +2;0stS4 ay = 3x +4:0 SIS2 b. y = 3x + 2; 0sxS2 c. y = -2r + 3:0 SIS4 d.y = -2x - 2:0 SIS2 e.y = 3x + 2:0s xS4 13) Let f(x, y,z) = xz + yz + xy*z, x = k,y = k and z = k. Findat k = 1. %3D a. 25 b. 30 c. 20 d. 17 e. 15
Transcribed Image Text:a<-2,1.-6> b<-5,-4,3> c<12-1> 5) Which of the following vector is perpendicular to the given 2 vectors ? =< 2,12> and -11,-3> 6) Evaluate d.<-543> e<-2,0,2 > (2+2ry)dydr a. 10 b.24 46 d. 30 e. 26 Which of the following point is the critical point of the given function ? fa.y) = 2ry - 5x -2y +4x - 4 of Parametric equations and a value for the parametert are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t. x=t +2, y=t- 6 t= 2 a. (5,21) b. (4,2) c (1,3) d. (3.-1) e (-2,2) 9) Let d=i-j+ 2k and b=i+2j+ 3k. Find 2a - 5|. b. 2V3 a. 2/2 c. 18 d. 9 e. 3V7 10) If d= 21+j+ 4k and b= 47 + 2f +k, then find cose between the vectors a and b. b. 11) tet f(x,y) = sin(xy) + y lnx. Find fy(x,y) at E.0). d. 1 e.2 %3D a. 3 b. 33 c.0 12) Find a rectangular equation for the plane curve defined by the parametric equations. x= VE,y = 3t +2;0stS4 ay = 3x +4:0 SIS2 b. y = 3x + 2; 0sxS2 c. y = -2r + 3:0 SIS4 d.y = -2x - 2:0 SIS2 e.y = 3x + 2:0s xS4 13) Let f(x, y,z) = xz + yz + xy*z, x = k,y = k and z = k. Findat k = 1. %3D a. 25 b. 30 c. 20 d. 17 e. 15
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