(2) Determine if the following statement is true. Give an explanation. → The plane z+y+=1 contains the point (1, 1, 1). (3) Find an equation of the line through the origin that is perpendicular to the lines ri(t) =< 1,0,1 > +t< -1,2,1> and ra(t) -< 2, 1,1 > +t < 1,0,1 >. (4) Let f(x,v) = sin(2r + y) (a) Find f. (b) Find fyr

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 45EQ
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(2) Determine if the following statement is true. Give an explanation.
→
The plane z+y+= =1 contains the point (1,1, 1).
(3) Find an equation of the line through the origin that is perpendicular to the lines
ri(t) =< 1,0,1 > +t< -1,2,1> and
ra(t) -< 2, 1,1 >+t < 1,0,1 >.
(4) Let f(z,v) = sin(2r + y)
%3D
(a) Find f.
(6) Find fyr
(s) Let f(z, y) =
Find linearization of f at (1, 1) and use it to estimate f(0.99, 1.01).
(6) Complete the statements: + y² + 2= 9 is the surface of a....
And := y9- z2 – y² is the surface of a...
%3D
Transcribed Image Text:(2) Determine if the following statement is true. Give an explanation. → The plane z+y+= =1 contains the point (1,1, 1). (3) Find an equation of the line through the origin that is perpendicular to the lines ri(t) =< 1,0,1 > +t< -1,2,1> and ra(t) -< 2, 1,1 >+t < 1,0,1 >. (4) Let f(z,v) = sin(2r + y) %3D (a) Find f. (6) Find fyr (s) Let f(z, y) = Find linearization of f at (1, 1) and use it to estimate f(0.99, 1.01). (6) Complete the statements: + y² + 2= 9 is the surface of a.... And := y9- z2 – y² is the surface of a... %3D
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